Right rectangular prism M is similar to right rectangular prism N. The surface area of right rectangular prism M is 100 square centimeters ($c{m}^2$), and the surface area of right rectangular prism N is 2,500 $c{m}^2$. The volume of right rectangular prism N is 2,500 cubic centimeters ($c{m}^3$). What is the sum of the volumes, in $c{m}^3$, of right rectangular prism M and right rectangular prism N?