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Finding the Third Proportional to 17,150,091,042 and 37,149,335,718

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Solution

The third proportional to 17,150,091,042 and 37,149,335,718 is: 80,470,310,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,150,091,042 : 37,149,335,718 = 37,149,335,718 : x
  2. Step 2: Convert to fraction form
    17,150,091,042/37,149,335,718 = 37,149,335,718/x
  3. Step 3: Cross multiply
    17,150,091,042x = 37,149,335,718 × 37,149,335,718
  4. Step 4: Simplify right side
    17,150,091,042x = 1,380,073,144,288,670,646,272
  5. Step 5: Solve for x
    x = 1,380,073,144,288,670,646,272/17,150,091,042
  6. Step 6: Final answer
    x = 80,470,310,093.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.