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Finding the Third Proportional to 38,832,320,741,770 and 84,500,694,227,852

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Solution

The third proportional to 38,832,320,741,770 and 84,500,694,227,852 is: 183,876,914,606,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832,320,741,770 : 84,500,694,227,852 = 84,500,694,227,852 : x
  2. Step 2: Convert to fraction form
    38,832,320,741,770/84,500,694,227,852 = 84,500,694,227,852/x
  3. Step 3: Cross multiply
    38,832,320,741,770x = 84,500,694,227,852 × 84,500,694,227,852
  4. Step 4: Simplify right side
    38,832,320,741,770x = 7,140,367,324,988,940,716,687,228,928
  5. Step 5: Solve for x
    x = 7,140,367,324,988,940,716,687,228,928/38,832,320,741,770
  6. Step 6: Final answer
    x = 183,876,914,606,043.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.