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Finding the Third Proportional to 10,491,520 and 16,682,496

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Solution

The third proportional to 10,491,520 and 16,682,496 is: 26,526,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,520 : 16,682,496 = 16,682,496 : x
  2. Step 2: Convert to fraction form
    10,491,520/16,682,496 = 16,682,496/x
  3. Step 3: Cross multiply
    10,491,520x = 16,682,496 × 16,682,496
  4. Step 4: Simplify right side
    10,491,520x = 278,305,672,790,016
  5. Step 5: Solve for x
    x = 278,305,672,790,016/10,491,520
  6. Step 6: Final answer
    x = 26,526,725.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.