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Finding the Third Proportional to 8,253,376 and 19,419,846

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Solution

The third proportional to 8,253,376 and 19,419,846 is: 45,694,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,376 : 19,419,846 = 19,419,846 : x
  2. Step 2: Convert to fraction form
    8,253,376/19,419,846 = 19,419,846/x
  3. Step 3: Cross multiply
    8,253,376x = 19,419,846 × 19,419,846
  4. Step 4: Simplify right side
    8,253,376x = 377,130,418,663,716
  5. Step 5: Solve for x
    x = 377,130,418,663,716/8,253,376
  6. Step 6: Final answer
    x = 45,694,079.45

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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.