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Finding the Third Proportional to 400,024,872 and 601,102,309.50

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Solution

The third proportional to 400,024,872 and 601,102,309.50 is: 903,253,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,024,872 : 601,102,309.50 = 601,102,309.50 : x
  2. Step 2: Convert to fraction form
    400,024,872/601,102,309.50 = 601,102,309.50/x
  3. Step 3: Cross multiply
    400,024,872x = 601,102,309.50 × 601,102,309.50
  4. Step 4: Simplify right side
    400,024,872x = 361,323,986,486,233,792
  5. Step 5: Solve for x
    x = 361,323,986,486,233,792/400,024,872
  6. Step 6: Final answer
    x = 903,253,801.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.