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Finding the Third Proportional to 47,755,392,846 and 102,219,283,533

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Solution

The third proportional to 47,755,392,846 and 102,219,283,533 is: 218,797,947,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,392,846 : 102,219,283,533 = 102,219,283,533 : x
  2. Step 2: Convert to fraction form
    47,755,392,846/102,219,283,533 = 102,219,283,533/x
  3. Step 3: Cross multiply
    47,755,392,846x = 102,219,283,533 × 102,219,283,533
  4. Step 4: Simplify right side
    47,755,392,846x = 10,448,781,925,999,844,524,032
  5. Step 5: Solve for x
    x = 10,448,781,925,999,844,524,032/47,755,392,846
  6. Step 6: Final answer
    x = 218,797,947,274.66

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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.