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Finding the Third Proportional to 683,729,296 and 1,391,622,016

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Solution

The third proportional to 683,729,296 and 1,391,622,016 is: 2,832,424,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,729,296 : 1,391,622,016 = 1,391,622,016 : x
  2. Step 2: Convert to fraction form
    683,729,296/1,391,622,016 = 1,391,622,016/x
  3. Step 3: Cross multiply
    683,729,296x = 1,391,622,016 × 1,391,622,016
  4. Step 4: Simplify right side
    683,729,296x = 1,936,611,835,415,904,256
  5. Step 5: Solve for x
    x = 1,936,611,835,415,904,256/683,729,296
  6. Step 6: Final answer
    x = 2,832,424,830.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.