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Let x,y,zx,y,zx,y,z be real numbers such that x2+y2+z2+(x+y+z)2=9x^2+y^2+z^2+(x+y+z)^2=9x2+y2+z2+(x+y+z)2=9 and xyz≤1532xyz\leq \frac{15}{32}xyz≤3215. To 2 decimal places, what is the greatest possible value of xxx?
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