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Finding the Third Proportional to 267,147,574.50 and 408,666,180

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Solution

The third proportional to 267,147,574.50 and 408,666,180 is: 625,152,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,147,574.50 : 408,666,180 = 408,666,180 : x
  2. Step 2: Convert to fraction form
    267,147,574.50/408,666,180 = 408,666,180/x
  3. Step 3: Cross multiply
    267,147,574.50x = 408,666,180 × 408,666,180
  4. Step 4: Simplify right side
    267,147,574.50x = 167,008,046,675,792,384
  5. Step 5: Solve for x
    x = 167,008,046,675,792,384/267,147,574.50
  6. Step 6: Final answer
    x = 625,152,771.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.