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Finding the Third Proportional to 49,408,060 and 107,321,542

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Solution

The third proportional to 49,408,060 and 107,321,542 is: 233,118,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,060 : 107,321,542 = 107,321,542 : x
  2. Step 2: Convert to fraction form
    49,408,060/107,321,542 = 107,321,542/x
  3. Step 3: Cross multiply
    49,408,060x = 107,321,542 × 107,321,542
  4. Step 4: Simplify right side
    49,408,060x = 11,517,913,377,257,764
  5. Step 5: Solve for x
    x = 11,517,913,377,257,764/49,408,060
  6. Step 6: Final answer
    x = 233,118,106.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.