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Finding the Third Proportional to 47,755,393,998 and 102,219,285,864

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Solution

The third proportional to 47,755,393,998 and 102,219,285,864 is: 218,797,951,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,393,998 : 102,219,285,864 = 102,219,285,864 : x
  2. Step 2: Convert to fraction form
    47,755,393,998/102,219,285,864 = 102,219,285,864/x
  3. Step 3: Cross multiply
    47,755,393,998x = 102,219,285,864 × 102,219,285,864
  4. Step 4: Simplify right side
    47,755,393,998x = 10,448,782,402,546,149,883,904
  5. Step 5: Solve for x
    x = 10,448,782,402,546,149,883,904/47,755,393,998
  6. Step 6: Final answer
    x = 218,797,951,975.51

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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.