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Finding the Third Proportional to 32,650,614 and 47,198,892

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Solution

The third proportional to 32,650,614 and 47,198,892 is: 68,229,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650,614 : 47,198,892 = 47,198,892 : x
  2. Step 2: Convert to fraction form
    32,650,614/47,198,892 = 47,198,892/x
  3. Step 3: Cross multiply
    32,650,614x = 47,198,892 × 47,198,892
  4. Step 4: Simplify right side
    32,650,614x = 2,227,735,406,027,664
  5. Step 5: Solve for x
    x = 2,227,735,406,027,664/32,650,614
  6. Step 6: Final answer
    x = 68,229,510.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.