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Finding the Third Proportional to 67,478,877,592.50 and 140,542,942,032

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Solution

The third proportional to 67,478,877,592.50 and 140,542,942,032 is: 292,718,540,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478,877,592.50 : 140,542,942,032 = 140,542,942,032 : x
  2. Step 2: Convert to fraction form
    67,478,877,592.50/140,542,942,032 = 140,542,942,032/x
  3. Step 3: Cross multiply
    67,478,877,592.50x = 140,542,942,032 × 140,542,942,032
  4. Step 4: Simplify right side
    67,478,877,592.50x = 19,752,318,555,010,111,635,456
  5. Step 5: Solve for x
    x = 19,752,318,555,010,111,635,456/67,478,877,592.50
  6. Step 6: Final answer
    x = 292,718,540,374.86

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Why These Related Problems?

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