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Finding the Third Proportional to 47,755,394,004 and 102,219,285,876

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Solution

The third proportional to 47,755,394,004 and 102,219,285,876 is: 218,797,951,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,394,004 : 102,219,285,876 = 102,219,285,876 : x
  2. Step 2: Convert to fraction form
    47,755,394,004/102,219,285,876 = 102,219,285,876/x
  3. Step 3: Cross multiply
    47,755,394,004x = 102,219,285,876 × 102,219,285,876
  4. Step 4: Simplify right side
    47,755,394,004x = 10,448,782,404,999,412,973,568
  5. Step 5: Solve for x
    x = 10,448,782,404,999,412,973,568/47,755,394,004
  6. Step 6: Final answer
    x = 218,797,951,999.40

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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.