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Finding the Third Proportional to 38,832,320,741,820 and 84,500,694,227,928

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Solution

The third proportional to 38,832,320,741,820 and 84,500,694,227,928 is: 183,876,914,606,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832,320,741,820 : 84,500,694,227,928 = 84,500,694,227,928 : x
  2. Step 2: Convert to fraction form
    38,832,320,741,820/84,500,694,227,928 = 84,500,694,227,928/x
  3. Step 3: Cross multiply
    38,832,320,741,820x = 84,500,694,227,928 × 84,500,694,227,928
  4. Step 4: Simplify right side
    38,832,320,741,820x = 7,140,367,325,001,784,112,011,280,384
  5. Step 5: Solve for x
    x = 7,140,367,325,001,784,112,011,280,384/38,832,320,741,820
  6. Step 6: Final answer
    x = 183,876,914,606,137.66

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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.