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Finding the Third Proportional to 2,660,416 and 5,818,496

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Solution

The third proportional to 2,660,416 and 5,818,496 is: 12,725,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,416 : 5,818,496 = 5,818,496 : x
  2. Step 2: Convert to fraction form
    2,660,416/5,818,496 = 5,818,496/x
  3. Step 3: Cross multiply
    2,660,416x = 5,818,496 × 5,818,496
  4. Step 4: Simplify right side
    2,660,416x = 33,854,895,702,016
  5. Step 5: Solve for x
    x = 33,854,895,702,016/2,660,416
  6. Step 6: Final answer
    x = 12,725,414.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.