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Finding the Third Proportional to 416,175,255 and 866,780,451

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Solution

The third proportional to 416,175,255 and 866,780,451 is: 1,805,269,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,175,255 : 866,780,451 = 866,780,451 : x
  2. Step 2: Convert to fraction form
    416,175,255/866,780,451 = 866,780,451/x
  3. Step 3: Cross multiply
    416,175,255x = 866,780,451 × 866,780,451
  4. Step 4: Simplify right side
    416,175,255x = 751,308,350,235,763,456
  5. Step 5: Solve for x
    x = 751,308,350,235,763,456/416,175,255
  6. Step 6: Final answer
    x = 1,805,269,153.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.