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Finding the Third Proportional to 3,469,751,916 and 5,285,982,338

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Solution

The third proportional to 3,469,751,916 and 5,285,982,338 is: 8,052,912,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469,751,916 : 5,285,982,338 = 5,285,982,338 : x
  2. Step 2: Convert to fraction form
    3,469,751,916/5,285,982,338 = 5,285,982,338/x
  3. Step 3: Cross multiply
    3,469,751,916x = 5,285,982,338 × 5,285,982,338
  4. Step 4: Simplify right side
    3,469,751,916x = 27,941,609,277,647,945,728
  5. Step 5: Solve for x
    x = 27,941,609,277,647,945,728/3,469,751,916
  6. Step 6: Final answer
    x = 8,052,912,702.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.