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Finding the Third Proportional to 47,755,393,676 and 102,219,285,217

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Solution

The third proportional to 47,755,393,676 and 102,219,285,217 is: 218,797,950,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,393,676 : 102,219,285,217 = 102,219,285,217 : x
  2. Step 2: Convert to fraction form
    47,755,393,676/102,219,285,217 = 102,219,285,217/x
  3. Step 3: Cross multiply
    47,755,393,676x = 102,219,285,217 × 102,219,285,217
  4. Step 4: Simplify right side
    47,755,393,676x = 10,448,782,270,274,394,390,528
  5. Step 5: Solve for x
    x = 10,448,782,270,274,394,390,528/47,755,393,676
  6. Step 6: Final answer
    x = 218,797,950,681.03

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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.