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Finding the Third Proportional to 725,540,643 and 1,481,534,532

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Solution

The third proportional to 725,540,643 and 1,481,534,532 is: 3,025,253,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,540,643 : 1,481,534,532 = 1,481,534,532 : x
  2. Step 2: Convert to fraction form
    725,540,643/1,481,534,532 = 1,481,534,532/x
  3. Step 3: Cross multiply
    725,540,643x = 1,481,534,532 × 1,481,534,532
  4. Step 4: Simplify right side
    725,540,643x = 2,194,944,569,508,459,008
  5. Step 5: Solve for x
    x = 2,194,944,569,508,459,008/725,540,643
  6. Step 6: Final answer
    x = 3,025,253,775.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.