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Finding the Third Proportional to 20,123,983 and 31,381,715.50

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Solution

The third proportional to 20,123,983 and 31,381,715.50 is: 48,937,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,983 : 31,381,715.50 = 31,381,715.50 : x
  2. Step 2: Convert to fraction form
    20,123,983/31,381,715.50 = 31,381,715.50/x
  3. Step 3: Cross multiply
    20,123,983x = 31,381,715.50 × 31,381,715.50
  4. Step 4: Simplify right side
    20,123,983x = 984,812,067,722,940.25
  5. Step 5: Solve for x
    x = 984,812,067,722,940.25/20,123,983
  6. Step 6: Final answer
    x = 48,937,234.13

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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.