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Finding the Third Proportional to 21,229,255.50 and 31,810,545.75

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Solution

The third proportional to 21,229,255.50 and 31,810,545.75 is: 47,665,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229,255.50 : 31,810,545.75 = 31,810,545.75 : x
  2. Step 2: Convert to fraction form
    21,229,255.50/31,810,545.75 = 31,810,545.75/x
  3. Step 3: Cross multiply
    21,229,255.50x = 31,810,545.75 × 31,810,545.75
  4. Step 4: Simplify right side
    21,229,255.50x = 1,011,910,820,912,843
  5. Step 5: Solve for x
    x = 1,011,910,820,912,843/21,229,255.50
  6. Step 6: Final answer
    x = 47,665,864.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.