If the moon attracts the earth,why does the earth not move towards the moon?

(N/A) According to Newton's third law of motion,the Earth and the moon exert equal and opposite gravitational forces on each other.
However,according to Newton's second law of motion,$F = ma$,the acceleration produced in a body is inversely proportional to its mass $(a = F/m)$.
The mass of the Earth is significantly larger than the mass of the moon.
Due to this massive difference in mass,the acceleration produced in the Earth is negligible compared to the acceleration produced in the moon.
Therefore,the Earth does not show any observable movement towards the moon.