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Finding the Third Proportional to 12,227,469,082 and 26,668,455,476

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Solution

The third proportional to 12,227,469,082 and 26,668,455,476 is: 58,164,654,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227,469,082 : 26,668,455,476 = 26,668,455,476 : x
  2. Step 2: Convert to fraction form
    12,227,469,082/26,668,455,476 = 26,668,455,476/x
  3. Step 3: Cross multiply
    12,227,469,082x = 26,668,455,476 × 26,668,455,476
  4. Step 4: Simplify right side
    12,227,469,082x = 711,206,517,475,394,322,432
  5. Step 5: Solve for x
    x = 711,206,517,475,394,322,432/12,227,469,082
  6. Step 6: Final answer
    x = 58,164,654,738.11

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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.