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Finding the Third Proportional to 394,375,608 and 851,106,096

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Solution

The third proportional to 394,375,608 and 851,106,096 is: 1,836,780,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,375,608 : 851,106,096 = 851,106,096 : x
  2. Step 2: Convert to fraction form
    394,375,608/851,106,096 = 851,106,096/x
  3. Step 3: Cross multiply
    394,375,608x = 851,106,096 × 851,106,096
  4. Step 4: Simplify right side
    394,375,608x = 724,381,586,648,361,216
  5. Step 5: Solve for x
    x = 724,381,586,648,361,216/394,375,608
  6. Step 6: Final answer
    x = 1,836,780,906.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.