Let's take the gravitational constant "[G] = \\dfrac{m^3}{kg\\cdot s^2}" and try to get rid of "m^2" in the numerator and "kg\\cdot s^2" in the denominator.
First, let's notice that "[c^2] = m^2\/s^2", thus, we can exclude these units by putting "c^2" into the denominator of the final expression. Then, only "kg" has left. To get rid of it we should put "[m] = kg" into the numerator of the final expression.
Finally, obtain:
Checking dimension, get:
"[R] = \\dfrac{m^3}{kg\\cdot s^2}\\cdot \\dfrac{kg\\cdot s^2}{m^2} = m"
Answer. "R = G\\dfrac{m}{c^2}".
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