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Finding the Third Proportional to 787,271,231.25 and 1,691,375,637.38

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Solution

The third proportional to 787,271,231.25 and 1,691,375,637.38 is: 3,633,755,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,271,231.25 : 1,691,375,637.38 = 1,691,375,637.38 : x
  2. Step 2: Convert to fraction form
    787,271,231.25/1,691,375,637.38 = 1,691,375,637.38/x
  3. Step 3: Cross multiply
    787,271,231.25x = 1,691,375,637.38 × 1,691,375,637.38
  4. Step 4: Simplify right side
    787,271,231.25x = 2,860,751,546,705,687,552
  5. Step 5: Solve for x
    x = 2,860,751,546,705,687,552/787,271,231.25
  6. Step 6: Final answer
    x = 3,633,755,982.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.