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Finding the Third Proportional to 76,746,717 and 118,084,311

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Solution

The third proportional to 76,746,717 and 118,084,311 is: 181,687,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746,717 : 118,084,311 = 118,084,311 : x
  2. Step 2: Convert to fraction form
    76,746,717/118,084,311 = 118,084,311/x
  3. Step 3: Cross multiply
    76,746,717x = 118,084,311 × 118,084,311
  4. Step 4: Simplify right side
    76,746,717x = 13,943,904,504,344,720
  5. Step 5: Solve for x
    x = 13,943,904,504,344,720/76,746,717
  6. Step 6: Final answer
    x = 181,687,309.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.