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Finding the Third Proportional to 41,752,529,283,460 and 84,695,580,206,256

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Solution

The third proportional to 41,752,529,283,460 and 84,695,580,206,256 is: 171,806,149,940,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,752,529,283,460 : 84,695,580,206,256 = 84,695,580,206,256 : x
  2. Step 2: Convert to fraction form
    41,752,529,283,460/84,695,580,206,256 = 84,695,580,206,256/x
  3. Step 3: Cross multiply
    41,752,529,283,460x = 84,695,580,206,256 × 84,695,580,206,256
  4. Step 4: Simplify right side
    41,752,529,283,460x = 7,173,341,306,474,342,992,377,282,560
  5. Step 5: Solve for x
    x = 7,173,341,306,474,342,992,377,282,560/41,752,529,283,460
  6. Step 6: Final answer
    x = 171,806,149,940,622.09

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.