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Finding the Third Proportional to 296,499,588,018.48 and 417,536,756,424.39

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Solution

The third proportional to 296,499,588,018.48 and 417,536,756,424.39 is: 587,983,761,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499,588,018.48 : 417,536,756,424.39 = 417,536,756,424.39 : x
  2. Step 2: Convert to fraction form
    296,499,588,018.48/417,536,756,424.39 = 417,536,756,424.39/x
  3. Step 3: Cross multiply
    296,499,588,018.48x = 417,536,756,424.39 × 417,536,756,424.39
  4. Step 4: Simplify right side
    296,499,588,018.48x = 174,336,942,965,400,394,530,816
  5. Step 5: Solve for x
    x = 174,336,942,965,400,394,530,816/296,499,588,018.48
  6. Step 6: Final answer
    x = 587,983,761,227.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.