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Finding the Third Proportional to 416,332,976.25 and 925,726,629

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Solution

The third proportional to 416,332,976.25 and 925,726,629 is: 2,058,375,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,332,976.25 : 925,726,629 = 925,726,629 : x
  2. Step 2: Convert to fraction form
    416,332,976.25/925,726,629 = 925,726,629/x
  3. Step 3: Cross multiply
    416,332,976.25x = 925,726,629 × 925,726,629
  4. Step 4: Simplify right side
    416,332,976.25x = 856,969,791,639,703,680
  5. Step 5: Solve for x
    x = 856,969,791,639,703,680/416,332,976.25
  6. Step 6: Final answer
    x = 2,058,375,964.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.