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Finding the Third Proportional to 34,917,747.75 and 82,310,843.25

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Solution

The third proportional to 34,917,747.75 and 82,310,843.25 is: 194,029,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917,747.75 : 82,310,843.25 = 82,310,843.25 : x
  2. Step 2: Convert to fraction form
    34,917,747.75/82,310,843.25 = 82,310,843.25/x
  3. Step 3: Cross multiply
    34,917,747.75x = 82,310,843.25 × 82,310,843.25
  4. Step 4: Simplify right side
    34,917,747.75x = 6,775,074,916,526,071
  5. Step 5: Solve for x
    x = 6,775,074,916,526,071/34,917,747.75
  6. Step 6: Final answer
    x = 194,029,550.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.