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Finding the Third Proportional to 8,344,902 and 17,887,468

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Solution

The third proportional to 8,344,902 and 17,887,468 is: 38,342,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,902 : 17,887,468 = 17,887,468 : x
  2. Step 2: Convert to fraction form
    8,344,902/17,887,468 = 17,887,468/x
  3. Step 3: Cross multiply
    8,344,902x = 17,887,468 × 17,887,468
  4. Step 4: Simplify right side
    8,344,902x = 319,961,511,451,024
  5. Step 5: Solve for x
    x = 319,961,511,451,024/8,344,902
  6. Step 6: Final answer
    x = 38,342,153.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.