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Finding the Third Proportional to 416,332,977.50 and 925,726,631

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Solution

The third proportional to 416,332,977.50 and 925,726,631 is: 2,058,375,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,332,977.50 : 925,726,631 = 925,726,631 : x
  2. Step 2: Convert to fraction form
    416,332,977.50/925,726,631 = 925,726,631/x
  3. Step 3: Cross multiply
    416,332,977.50x = 925,726,631 × 925,726,631
  4. Step 4: Simplify right side
    416,332,977.50x = 856,969,795,342,610,176
  5. Step 5: Solve for x
    x = 856,969,795,342,610,176/416,332,977.50
  6. Step 6: Final answer
    x = 2,058,375,967.45

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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.