Two wires A and B made of different materials of lengths 6.0 cm and 5.4 cm, respectively and area of cross sections 3.0 × 10^-5 m^2 and 4.5 × 10^-5…

Two wires $\displaystyle A$ and $\displaystyle B$ made of different materials of lengths $\displaystyle 6.0$ cm and $\displaystyle 5.4$ cm , respectively and area of cross sections $\displaystyle 3.0 \times 10^{-5} \mathrm{~m}^2$ and $\displaystyle 4.5 \times 10^{-5} \mathrm{~m}^2$, respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of $\displaystyle A$ to that of $\displaystyle B$ is $\displaystyle x: 3$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.