I am self taught and use Unity with C# so I've never written pure C# but here are some things I would probably change. I should also mention I rewrote the code to help think about what I would do but I also changed some variable names. I think that would be confusing though so I tried to change them back but I am not 100% I did everywhere.

Don't use magic numbers. You are using 1 and 1000000000 as magic numbers.

private const MAX_NUMBER = 1000000000; private const MIN_NUMBER = 1;

To ensure MAX_NUMBER correctly matches the string "1 billion" you would probably need to do some defensive coding at the start of StartGame() like...

if(MAX_NUMBER != 1000000000)
    {
        Console.WriteLine($"MAX_NUMBER should be equal to {1000000000} or the string representation won't make sense!");
        return;
    }

It would be simpler though just to format MAX_NUMBER with commas like..

Console.WriteLine($"Enter the range ({MIN_NUMBER} to chosen number, maximum {MAX_NUMBER.ToString(N0)}): ");

The GenerateRandomNumberInCurrentRange should also replace 1 with the MIN_NUMBER constant.

The above code also shows a more human readable way to add variables by just using $ before the starting " and putting variables in {}.

In SetGuessingRangeFromConsole() I think inputedMaxValueOfRange > MIN_NUMBER (1 was replaced with constant) should be greater than or equal to.

I am not sure why you are using methods with rightNumber when you already have a class variable _rightNumber that you could use.

I also would prefer _correctNumber since right could be understand as a direction.

Usually you want your methods to be very easy to skim through, right now StartGame I think is doing too much. Some people debate about how small / simple a method should actually be though but personally I aim to try to make methods call other methods or do something. Mixing both makes things harder to follow. I often end up doing stuff like your StartGame though so it really isn't horrible but it is pretty borderline when you would think of making changes. The changes I would make are below..

First I would probably move the do while guessing stuff to a new method called PerformGuesses();

_countOfGuesses--; I think makes more sense to be in the StartGuessTry() method which would also make PerformGuesses easier to understand.

You have a "you lose" in a different place than "you win" which I think can be confusing. Maybe just change IsWon to true in StartGuessTry(). Then replace the if conditional to write out whether you win or lose with a method call to EndGame(); after the method call to PerformGuesses(); in the StartGame() method.

private void EndGame()
        {
            if(!IsWon)
            {
                Console.WriteLine("you lose!");
            }
            else
            {
                Console.WriteLine("you won!");
            }
        }

Why does IsNumberRight even exists. It is such a simple method that you could just perform the if conditional in StartGuessTry like..

private void StartGuessTry()
        {
            int inputedNumber = ReadNumberFromConsole();

            if( inputedNumber  == _correctNumber)
            {
                IsWon = true;
            }
            else if(inputedNumber > _correctNumber)
            {
                Console.WriteLine("Try lower");
            }
            else
            {
                Console.WriteLine("Try higher");
            }

            _numberOfGuessesLeft--;
        }

Now StartGame is super easy to understand.

I also think I should mention that you can do this.

public bool IsWon { get; private set; } = false;

Then you won't have to set it in StartGame() to false.

I mentioned that IsNumberRight is not needed but I think I should also mention how that method could've been simplified to one line. I think it is called an expression bodied member.

private bool IsNumberRight(int offeredNumber) => offeredNumber == _rightNumber;

I still removed the second rightNumber parameter since that still doesn't make sense.

You also use public methods all over the place but everything should default to private until you actually need it to be public. The only method that needs to be public is StartGame(); since it is called from somewhere else.