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Finding the Third Proportional to 5,307,469,006 and 11,517,125,146

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Solution

The third proportional to 5,307,469,006 and 11,517,125,146 is: 24,991,982,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,469,006 : 11,517,125,146 = 11,517,125,146 : x
  2. Step 2: Convert to fraction form
    5,307,469,006/11,517,125,146 = 11,517,125,146/x
  3. Step 3: Cross multiply
    5,307,469,006x = 11,517,125,146 × 11,517,125,146
  4. Step 4: Simplify right side
    5,307,469,006x = 132,644,171,628,625,526,784
  5. Step 5: Solve for x
    x = 132,644,171,628,625,526,784/5,307,469,006
  6. Step 6: Final answer
    x = 24,991,982,332.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.