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Finding the Third Proportional to 47,036,358,387 and 71,904,298,694

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Solution

The third proportional to 47,036,358,387 and 71,904,298,694 is: 109,919,822,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,036,358,387 : 71,904,298,694 = 71,904,298,694 : x
  2. Step 2: Convert to fraction form
    47,036,358,387/71,904,298,694 = 71,904,298,694/x
  3. Step 3: Cross multiply
    47,036,358,387x = 71,904,298,694 × 71,904,298,694
  4. Step 4: Simplify right side
    47,036,358,387x = 5,170,228,170,675,969,851,392
  5. Step 5: Solve for x
    x = 5,170,228,170,675,969,851,392/47,036,358,387
  6. Step 6: Final answer
    x = 109,919,822,621.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.