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Finding the Third Proportional to 408,351,168 and 627,665,016

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Solution

The third proportional to 408,351,168 and 627,665,016 is: 964,766,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,351,168 : 627,665,016 = 627,665,016 : x
  2. Step 2: Convert to fraction form
    408,351,168/627,665,016 = 627,665,016/x
  3. Step 3: Cross multiply
    408,351,168x = 627,665,016 × 627,665,016
  4. Step 4: Simplify right side
    408,351,168x = 393,963,372,310,280,256
  5. Step 5: Solve for x
    x = 393,963,372,310,280,256/408,351,168
  6. Step 6: Final answer
    x = 964,766,120.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.