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Finding the Third Proportional to 47,755,394,002 and 102,219,285,872

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Solution

The third proportional to 47,755,394,002 and 102,219,285,872 is: 218,797,951,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,394,002 : 102,219,285,872 = 102,219,285,872 : x
  2. Step 2: Convert to fraction form
    47,755,394,002/102,219,285,872 = 102,219,285,872/x
  3. Step 3: Cross multiply
    47,755,394,002x = 102,219,285,872 × 102,219,285,872
  4. Step 4: Simplify right side
    47,755,394,002x = 10,448,782,404,181,657,911,296
  5. Step 5: Solve for x
    x = 10,448,782,404,181,657,911,296/47,755,394,002
  6. Step 6: Final answer
    x = 218,797,951,991.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.