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Finding the Third Proportional to 491,134,034,247 and 1,068,750,687,592

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Solution

The third proportional to 491,134,034,247 and 1,068,750,687,592 is: 2,325,695,131,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,134,034,247 : 1,068,750,687,592 = 1,068,750,687,592 : x
  2. Step 2: Convert to fraction form
    491,134,034,247/1,068,750,687,592 = 1,068,750,687,592/x
  3. Step 3: Cross multiply
    491,134,034,247x = 1,068,750,687,592 × 1,068,750,687,592
  4. Step 4: Simplify right side
    491,134,034,247x = 1,142,228,032,228,372,745,551,872
  5. Step 5: Solve for x
    x = 1,142,228,032,228,372,745,551,872/491,134,034,247
  6. Step 6: Final answer
    x = 2,325,695,131,227.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.