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Finding the Third Proportional to 67,478,877,588 and 140,542,942,023

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Solution

The third proportional to 67,478,877,588 and 140,542,942,023 is: 292,718,540,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478,877,588 : 140,542,942,023 = 140,542,942,023 : x
  2. Step 2: Convert to fraction form
    67,478,877,588/140,542,942,023 = 140,542,942,023/x
  3. Step 3: Cross multiply
    67,478,877,588x = 140,542,942,023 × 140,542,942,023
  4. Step 4: Simplify right side
    67,478,877,588x = 19,752,318,552,480,338,149,376
  5. Step 5: Solve for x
    x = 19,752,318,552,480,338,149,376/67,478,877,588
  6. Step 6: Final answer
    x = 292,718,540,356.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.