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Finding the Third Proportional to 47,755,393,671 and 102,219,285,207

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Solution

The third proportional to 47,755,393,671 and 102,219,285,207 is: 218,797,950,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,393,671 : 102,219,285,207 = 102,219,285,207 : x
  2. Step 2: Convert to fraction form
    47,755,393,671/102,219,285,207 = 102,219,285,207/x
  3. Step 3: Cross multiply
    47,755,393,671x = 102,219,285,207 × 102,219,285,207
  4. Step 4: Simplify right side
    47,755,393,671x = 10,448,782,268,230,008,832,000
  5. Step 5: Solve for x
    x = 10,448,782,268,230,008,832,000/47,755,393,671
  6. Step 6: Final answer
    x = 218,797,950,661.12

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