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Finding the Third Proportional to 16,702,468.31 and 34,932,085.31

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Solution

The third proportional to 16,702,468.31 and 34,932,085.31 is: 73,058,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702,468.31 : 34,932,085.31 = 34,932,085.31 : x
  2. Step 2: Convert to fraction form
    16,702,468.31/34,932,085.31 = 34,932,085.31/x
  3. Step 3: Cross multiply
    16,702,468.31x = 34,932,085.31 × 34,932,085.31
  4. Step 4: Simplify right side
    16,702,468.31x = 1,220,250,584,279,778.25
  5. Step 5: Solve for x
    x = 1,220,250,584,279,778.25/16,702,468.31
  6. Step 6: Final answer
    x = 73,058,099.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.