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Finding the Third Proportional to 38,832,320,741,772 and 84,500,694,227,856

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Solution

The third proportional to 38,832,320,741,772 and 84,500,694,227,856 is: 183,876,914,606,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832,320,741,772 : 84,500,694,227,856 = 84,500,694,227,856 : x
  2. Step 2: Convert to fraction form
    38,832,320,741,772/84,500,694,227,856 = 84,500,694,227,856/x
  3. Step 3: Cross multiply
    38,832,320,741,772x = 84,500,694,227,856 × 84,500,694,227,856
  4. Step 4: Simplify right side
    38,832,320,741,772x = 7,140,367,324,989,615,816,826,683,392
  5. Step 5: Solve for x
    x = 7,140,367,324,989,615,816,826,683,392/38,832,320,741,772
  6. Step 6: Final answer
    x = 183,876,914,606,051.59

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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.