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Finding the Third Proportional to 41,752,529,283,456 and 84,695,580,206,248

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Solution

The third proportional to 41,752,529,283,456 and 84,695,580,206,248 is: 171,806,149,940,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,752,529,283,456 : 84,695,580,206,248 = 84,695,580,206,248 : x
  2. Step 2: Convert to fraction form
    41,752,529,283,456/84,695,580,206,248 = 84,695,580,206,248/x
  3. Step 3: Cross multiply
    41,752,529,283,456x = 84,695,580,206,248 × 84,695,580,206,248
  4. Step 4: Simplify right side
    41,752,529,283,456x = 7,173,341,306,472,988,394,051,862,528
  5. Step 5: Solve for x
    x = 7,173,341,306,472,988,394,051,862,528/41,752,529,283,456
  6. Step 6: Final answer
    x = 171,806,149,940,606.09

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Why These Related Problems?

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