A hammer mill requires $10.0\text{ kW}$ of power to crush agricultural feed from an initial size of $10\text{ mm}$ to $2\text{ mm}$. According to Rittinger's law ($E = K_R [1/d_2 - 1/d_1]$), the power required to grind the same feed from $10\text{ mm}$ to $1\text{ mm}$ at the same throughput capacity is ________ $\text{kW}$ (round off to two decimal places).