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Finding the Third Proportional to 8,081,165 and 17,955,955

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Solution

The third proportional to 8,081,165 and 17,955,955 is: 39,897,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081,165 : 17,955,955 = 17,955,955 : x
  2. Step 2: Convert to fraction form
    8,081,165/17,955,955 = 17,955,955/x
  3. Step 3: Cross multiply
    8,081,165x = 17,955,955 × 17,955,955
  4. Step 4: Simplify right side
    8,081,165x = 322,416,319,962,025
  5. Step 5: Solve for x
    x = 322,416,319,962,025/8,081,165
  6. Step 6: Final answer
    x = 39,897,257.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.