An electrically neutral molecule is collinear with (and located between) two charged particles, one carrying a charge of \(+3.56 \mu \mathrm{C}\) and the other carrying a charge of \(-1.05 \mu \mathrm{C}\). The center of the molecule is \(2.57 \mu \mathrm{m}\) from each particle. If the vector sum of the electric forces exerted on the molecule is \(45.0 \mathrm{nN}\), what is the polarizability of the molecule?