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Finding the Third Proportional to 16,591,769,861.50 and 24,257,747,721

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Solution

The third proportional to 16,591,769,861.50 and 24,257,747,721 is: 35,465,675,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591,769,861.50 : 24,257,747,721 = 24,257,747,721 : x
  2. Step 2: Convert to fraction form
    16,591,769,861.50/24,257,747,721 = 24,257,747,721/x
  3. Step 3: Cross multiply
    16,591,769,861.50x = 24,257,747,721 × 24,257,747,721
  4. Step 4: Simplify right side
    16,591,769,861.50x = 588,438,324,495,680,667,648
  5. Step 5: Solve for x
    x = 588,438,324,495,680,667,648/16,591,769,861.50
  6. Step 6: Final answer
    x = 35,465,675,416.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.