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Finding the Third Proportional to 408,031,128 and 880,542,792

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Solution

The third proportional to 408,031,128 and 880,542,792 is: 1,900,236,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031,128 : 880,542,792 = 880,542,792 : x
  2. Step 2: Convert to fraction form
    408,031,128/880,542,792 = 880,542,792/x
  3. Step 3: Cross multiply
    408,031,128x = 880,542,792 × 880,542,792
  4. Step 4: Simplify right side
    408,031,128x = 775,355,608,543,155,200
  5. Step 5: Solve for x
    x = 775,355,608,543,155,200/408,031,128
  6. Step 6: Final answer
    x = 1,900,236,416.63

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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.