A bio-engineer is studying the mechanical properties of a synthetic spider silk dragline thread. A single filament of this silk has a Young modulus of $Y$. To create a high-strength microfiber for micro-robotics, the engineer spins a new bundle consisting of three identical filaments of this silk twisted together. The resulting bundle has three times the cross-sectional area and 1.5 times the length of the original single filament.

What is the Young modulus of the new bundle in terms of $Y$?