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Finding the Third Proportional to 20,123,979 and 31,381,709.50

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Solution

The third proportional to 20,123,979 and 31,381,709.50 is: 48,937,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,979 : 31,381,709.50 = 31,381,709.50 : x
  2. Step 2: Convert to fraction form
    20,123,979/31,381,709.50 = 31,381,709.50/x
  3. Step 3: Cross multiply
    20,123,979x = 31,381,709.50 × 31,381,709.50
  4. Step 4: Simplify right side
    20,123,979x = 984,811,691,142,390.25
  5. Step 5: Solve for x
    x = 984,811,691,142,390.25/20,123,979
  6. Step 6: Final answer
    x = 48,937,225.15

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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.