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Finding the Third Proportional to 49,542,147 and 103,601,542

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Solution

The third proportional to 49,542,147 and 103,601,542 is: 216,649,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,147 : 103,601,542 = 103,601,542 : x
  2. Step 2: Convert to fraction form
    49,542,147/103,601,542 = 103,601,542/x
  3. Step 3: Cross multiply
    49,542,147x = 103,601,542 × 103,601,542
  4. Step 4: Simplify right side
    49,542,147x = 10,733,279,504,777,764
  5. Step 5: Solve for x
    x = 10,733,279,504,777,764/49,542,147
  6. Step 6: Final answer
    x = 216,649,462.22

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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.