The density and breaking stress of a wire are \( 6 \times 10^4 \, \text{kg/m}^3 \) and \( 1.2 \times 10^8 \, \text{N/m}^2 \) respectively. The wire is suspended from a rigid support on a planet where the acceleration due to gravity is \( \frac{1}{3} \) of the value on the surface of Earth. The maximum length of the wire without breaking is ________ m (take \( g = 10 \, \text{m/s}^2 \)).