√(7 x 189) = 2.645751311 x 13.74772708 = 36.37306696
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You can find the differences between arithmetic and geometric mean in the following link: "Calculation of the geometric mean of two numbers".
The difference between arithmetic and geometric mean you can find in the following link: "Calculation of the geometric mean of two numbers".
Geometric mean between 2 and 24 is 6.928203230275509. Look at link: "Calculation of the geometric mean of two numbers".
Look 2 and 8, their geometric mean is square root of 16 which is 4 and between 2 and 54. 9 and 4 have a geometric mean of 6 which is also between 2 and 54. Is this what you mean? Pun intended... The geometric mean of 2 and 54 is square root of 108.
No, the geometric mean is not the same as the mean of two numbers.