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Finding the Third Proportional to 37,754,575,267 and 81,793,180,847

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Solution

The third proportional to 37,754,575,267 and 81,793,180,847 is: 177,200,362,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754,575,267 : 81,793,180,847 = 81,793,180,847 : x
  2. Step 2: Convert to fraction form
    37,754,575,267/81,793,180,847 = 81,793,180,847/x
  3. Step 3: Cross multiply
    37,754,575,267x = 81,793,180,847 × 81,793,180,847
  4. Step 4: Simplify right side
    37,754,575,267x = 6,690,124,433,070,048,149,504
  5. Step 5: Solve for x
    x = 6,690,124,433,070,048,149,504/37,754,575,267
  6. Step 6: Final answer
    x = 177,200,362,757.56

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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.