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Finding the Third Proportional to 252,407,670 and 387,729,087

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Solution

The third proportional to 252,407,670 and 387,729,087 is: 595,599,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,670 : 387,729,087 = 387,729,087 : x
  2. Step 2: Convert to fraction form
    252,407,670/387,729,087 = 387,729,087/x
  3. Step 3: Cross multiply
    252,407,670x = 387,729,087 × 387,729,087
  4. Step 4: Simplify right side
    252,407,670x = 150,333,844,905,853,568
  5. Step 5: Solve for x
    x = 150,333,844,905,853,568/252,407,670
  6. Step 6: Final answer
    x = 595,599,352.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.