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Finding the Third Proportional to 20,124,086 and 31,381,877

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Solution

The third proportional to 20,124,086 and 31,381,877 is: 48,937,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124,086 : 31,381,877 = 31,381,877 : x
  2. Step 2: Convert to fraction form
    20,124,086/31,381,877 = 31,381,877/x
  3. Step 3: Cross multiply
    20,124,086x = 31,381,877 × 31,381,877
  4. Step 4: Simplify right side
    20,124,086x = 984,822,204,043,129
  5. Step 5: Solve for x
    x = 984,822,204,043,129/20,124,086
  6. Step 6: Final answer
    x = 48,937,487.35

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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.