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Finding the Third Proportional to 8,040,418 and 17,498,012

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Solution

The third proportional to 8,040,418 and 17,498,012 is: 38,080,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040,418 : 17,498,012 = 17,498,012 : x
  2. Step 2: Convert to fraction form
    8,040,418/17,498,012 = 17,498,012/x
  3. Step 3: Cross multiply
    8,040,418x = 17,498,012 × 17,498,012
  4. Step 4: Simplify right side
    8,040,418x = 306,180,423,952,144
  5. Step 5: Solve for x
    x = 306,180,423,952,144/8,040,418
  6. Step 6: Final answer
    x = 38,080,162.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.