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Finding the Third Proportional to 416,175,261 and 866,780,463

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Solution

The third proportional to 416,175,261 and 866,780,463 is: 1,805,269,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,175,261 : 866,780,463 = 866,780,463 : x
  2. Step 2: Convert to fraction form
    416,175,261/866,780,463 = 866,780,463/x
  3. Step 3: Cross multiply
    416,175,261x = 866,780,463 × 866,780,463
  4. Step 4: Simplify right side
    416,175,261x = 751,308,371,038,494,336
  5. Step 5: Solve for x
    x = 751,308,371,038,494,336/416,175,261
  6. Step 6: Final answer
    x = 1,805,269,177.30

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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.