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Finding the Third Proportional to 47,469,657 and 97,455,822

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Solution

The third proportional to 47,469,657 and 97,455,822 is: 200,078,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,657 : 97,455,822 = 97,455,822 : x
  2. Step 2: Convert to fraction form
    47,469,657/97,455,822 = 97,455,822/x
  3. Step 3: Cross multiply
    47,469,657x = 97,455,822 × 97,455,822
  4. Step 4: Simplify right side
    47,469,657x = 9,497,637,241,695,684
  5. Step 5: Solve for x
    x = 9,497,637,241,695,684/47,469,657
  6. Step 6: Final answer
    x = 200,078,067.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.