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Finding the Third Proportional to 2,839,005,188 and 6,177,924,016

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Solution

The third proportional to 2,839,005,188 and 6,177,924,016 is: 13,443,703,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,005,188 : 6,177,924,016 = 6,177,924,016 : x
  2. Step 2: Convert to fraction form
    2,839,005,188/6,177,924,016 = 6,177,924,016/x
  3. Step 3: Cross multiply
    2,839,005,188x = 6,177,924,016 × 6,177,924,016
  4. Step 4: Simplify right side
    2,839,005,188x = 38,166,745,147,469,570,048
  5. Step 5: Solve for x
    x = 38,166,745,147,469,570,048/2,839,005,188
  6. Step 6: Final answer
    x = 13,443,703,910.37

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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.