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Finding the Third Proportional to 12,227,469,086 and 26,668,455,484

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Solution

The third proportional to 12,227,469,086 and 26,668,455,484 is: 58,164,654,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227,469,086 : 26,668,455,484 = 26,668,455,484 : x
  2. Step 2: Convert to fraction form
    12,227,469,086/26,668,455,484 = 26,668,455,484/x
  3. Step 3: Cross multiply
    12,227,469,086x = 26,668,455,484 × 26,668,455,484
  4. Step 4: Simplify right side
    12,227,469,086x = 711,206,517,902,089,650,176
  5. Step 5: Solve for x
    x = 711,206,517,902,089,650,176/12,227,469,086
  6. Step 6: Final answer
    x = 58,164,654,753.97

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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.