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Finding the Third Proportional to 7,832,569 and 11,974,031

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Solution

The third proportional to 7,832,569 and 11,974,031 is: 18,305,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,569 : 11,974,031 = 11,974,031 : x
  2. Step 2: Convert to fraction form
    7,832,569/11,974,031 = 11,974,031/x
  3. Step 3: Cross multiply
    7,832,569x = 11,974,031 × 11,974,031
  4. Step 4: Simplify right side
    7,832,569x = 143,377,418,388,961
  5. Step 5: Solve for x
    x = 143,377,418,388,961/7,832,569
  6. Step 6: Final answer
    x = 18,305,286.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.