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Finding the Third Proportional to 31,343,684 and 47,489,564

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Solution

The third proportional to 31,343,684 and 47,489,564 is: 71,952,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343,684 : 47,489,564 = 47,489,564 : x
  2. Step 2: Convert to fraction form
    31,343,684/47,489,564 = 47,489,564/x
  3. Step 3: Cross multiply
    31,343,684x = 47,489,564 × 47,489,564
  4. Step 4: Simplify right side
    31,343,684x = 2,255,258,688,910,096
  5. Step 5: Solve for x
    x = 2,255,258,688,910,096/31,343,684
  6. Step 6: Final answer
    x = 71,952,572.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.