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Finding the Third Proportional to 752,072,661 and 1,649,428,218

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Solution

The third proportional to 752,072,661 and 1,649,428,218 is: 3,617,487,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,072,661 : 1,649,428,218 = 1,649,428,218 : x
  2. Step 2: Convert to fraction form
    752,072,661/1,649,428,218 = 1,649,428,218/x
  3. Step 3: Cross multiply
    752,072,661x = 1,649,428,218 × 1,649,428,218
  4. Step 4: Simplify right side
    752,072,661x = 2,720,613,446,334,655,488
  5. Step 5: Solve for x
    x = 2,720,613,446,334,655,488/752,072,661
  6. Step 6: Final answer
    x = 3,617,487,494.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.