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Finding the Third Proportional to 20,123,971.75 and 31,381,701

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Solution

The third proportional to 20,123,971.75 and 31,381,701 is: 48,937,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123,971.75 : 31,381,701 = 31,381,701 : x
  2. Step 2: Convert to fraction form
    20,123,971.75/31,381,701 = 31,381,701/x
  3. Step 3: Cross multiply
    20,123,971.75x = 31,381,701 × 31,381,701
  4. Step 4: Simplify right side
    20,123,971.75x = 984,811,157,653,401
  5. Step 5: Solve for x
    x = 984,811,157,653,401/20,123,971.75
  6. Step 6: Final answer
    x = 48,937,216.27

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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.