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The gravitational force between any two masses is proportional to the product of their masses. According to Newton's law (still a valid non-relativistic approximation even post general relativity) the gravitational force between two masses is equal to:

Fg = GMm/r2

Where G=6.67384(80)x10-11 m3kg-1s-2, M and m are the masses (in kilograms) of the two masses, and r is the distance between their centers. Obviously, Fg will increase as M and/or m increases.

An interesting exception is the case where one of the two masses is inside the other mass. For example, if the outer mass is a hollow sphere, it doesn't matter how much it's mass increases, the gravitational force on the inner mass (inside the hollow area) will remain zero.

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