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Finding the Third Proportional to 8,253,384 and 19,419,865

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Solution

The third proportional to 8,253,384 and 19,419,865 is: 45,694,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,384 : 19,419,865 = 19,419,865 : x
  2. Step 2: Convert to fraction form
    8,253,384/19,419,865 = 19,419,865/x
  3. Step 3: Cross multiply
    8,253,384x = 19,419,865 × 19,419,865
  4. Step 4: Simplify right side
    8,253,384x = 377,131,156,618,225
  5. Step 5: Solve for x
    x = 377,131,156,618,225/8,253,384
  6. Step 6: Final answer
    x = 45,694,124.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.