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Finding the Third Proportional to 32,650,616 and 47,198,895

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Solution

The third proportional to 32,650,616 and 47,198,895 is: 68,229,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650,616 : 47,198,895 = 47,198,895 : x
  2. Step 2: Convert to fraction form
    32,650,616/47,198,895 = 47,198,895/x
  3. Step 3: Cross multiply
    32,650,616x = 47,198,895 × 47,198,895
  4. Step 4: Simplify right side
    32,650,616x = 2,227,735,689,221,025
  5. Step 5: Solve for x
    x = 2,227,735,689,221,025/32,650,616
  6. Step 6: Final answer
    x = 68,229,514.85

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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.