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Finding the Third Proportional to 543,347,223.75 and 847,305,910.13

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Solution

The third proportional to 543,347,223.75 and 847,305,910.13 is: 1,321,304,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,347,223.75 : 847,305,910.13 = 847,305,910.13 : x
  2. Step 2: Convert to fraction form
    543,347,223.75/847,305,910.13 = 847,305,910.13/x
  3. Step 3: Cross multiply
    543,347,223.75x = 847,305,910.13 × 847,305,910.13
  4. Step 4: Simplify right side
    543,347,223.75x = 717,927,305,332,754,560
  5. Step 5: Solve for x
    x = 717,927,305,332,754,560/543,347,223.75
  6. Step 6: Final answer
    x = 1,321,304,819.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.