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Finding the Third Proportional to 68,137,687,794 and 149,098,515,477

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Solution

The third proportional to 68,137,687,794 and 149,098,515,477 is: 326,256,555,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,137,687,794 : 149,098,515,477 = 149,098,515,477 : x
  2. Step 2: Convert to fraction form
    68,137,687,794/149,098,515,477 = 149,098,515,477/x
  3. Step 3: Cross multiply
    68,137,687,794x = 149,098,515,477 × 149,098,515,477
  4. Step 4: Simplify right side
    68,137,687,794x = 22,230,367,317,445,207,654,400
  5. Step 5: Solve for x
    x = 22,230,367,317,445,207,654,400/68,137,687,794
  6. Step 6: Final answer
    x = 326,256,555,471.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.