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Finding the Third Proportional to 20,123,967 and 31,381,694

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Solution

The third proportional to 20,123,967 and 31,381,694 is: 48,937,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,967 : 31,381,694 = 31,381,694 : x
  2. Step 2: Convert to fraction form
    20,123,967/31,381,694 = 31,381,694/x
  3. Step 3: Cross multiply
    20,123,967x = 31,381,694 × 31,381,694
  4. Step 4: Simplify right side
    20,123,967x = 984,810,718,309,636
  5. Step 5: Solve for x
    x = 984,810,718,309,636/20,123,967
  6. Step 6: Final answer
    x = 48,937,205.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.