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Finding the Third Proportional to 376,407,131 and 815,347,150

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Solution

The third proportional to 376,407,131 and 815,347,150 is: 1,766,148,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,407,131 : 815,347,150 = 815,347,150 : x
  2. Step 2: Convert to fraction form
    376,407,131/815,347,150 = 815,347,150/x
  3. Step 3: Cross multiply
    376,407,131x = 815,347,150 × 815,347,150
  4. Step 4: Simplify right side
    376,407,131x = 664,790,975,013,122,560
  5. Step 5: Solve for x
    x = 664,790,975,013,122,560/376,407,131
  6. Step 6: Final answer
    x = 1,766,148,726.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.