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Finding the Third Proportional to 126,380,172,722 and 263,220,757,348

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Solution

The third proportional to 126,380,172,722 and 263,220,757,348 is: 548,228,140,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,380,172,722 : 263,220,757,348 = 263,220,757,348 : x
  2. Step 2: Convert to fraction form
    126,380,172,722/263,220,757,348 = 263,220,757,348/x
  3. Step 3: Cross multiply
    126,380,172,722x = 263,220,757,348 × 263,220,757,348
  4. Step 4: Simplify right side
    126,380,172,722x = 69,285,167,098,854,696,288,256
  5. Step 5: Solve for x
    x = 69,285,167,098,854,696,288,256/126,380,172,722
  6. Step 6: Final answer
    x = 548,228,140,590.23

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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.