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Finding the Third Proportional to 12,391,105 and 17,418,593

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Solution

The third proportional to 12,391,105 and 17,418,593 is: 24,485,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391,105 : 17,418,593 = 17,418,593 : x
  2. Step 2: Convert to fraction form
    12,391,105/17,418,593 = 17,418,593/x
  3. Step 3: Cross multiply
    12,391,105x = 17,418,593 × 17,418,593
  4. Step 4: Simplify right side
    12,391,105x = 303,407,382,099,649
  5. Step 5: Solve for x
    x = 303,407,382,099,649/12,391,105
  6. Step 6: Final answer
    x = 24,485,901.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.