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Finding the Third Proportional to 68,137,687,792 and 149,098,515,473

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Solution

The third proportional to 68,137,687,792 and 149,098,515,473 is: 326,256,555,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,137,687,792 : 149,098,515,473 = 149,098,515,473 : x
  2. Step 2: Convert to fraction form
    68,137,687,792/149,098,515,473 = 149,098,515,473/x
  3. Step 3: Cross multiply
    68,137,687,792x = 149,098,515,473 × 149,098,515,473
  4. Step 4: Simplify right side
    68,137,687,792x = 22,230,367,316,252,418,899,968
  5. Step 5: Solve for x
    x = 22,230,367,316,252,418,899,968/68,137,687,792
  6. Step 6: Final answer
    x = 326,256,555,463.31

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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.