Suppose two asteroids, with a mass m$1=(1\mathrm{.}82$x$10^7)$ kg and m$2=(2\mathrm{.}6401$x$10^6)$ kg$,$ each carry a net negative charge $$Q$.$ The asteroids are separated by $(5\mathrm{.}746$x$10^10)$ m$.$Approximate both bodies as point masses and point charges.

What value of Q is required to balance the gravitational attraction between the two asteroids?$$