$xYZ$ Corporation is considering acquiring ABC Company. $xYZ$ estimates that the acquisition will generate additional free cash flows of $1\mathrm{.}2$ million dollars per year, in perpetuity. XYZ Corporation's cost of capital is $10\%.$ If ABC Company is currently valued at $$50$ million, what is the maximum price $xYZ$ Corporation should be willing to pay for ABC Company to ensure the acquisition is value$-$accretive? $($If your answer is $$40\mathrm{.}51$ million, write $40\mathrm{.}51)$

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