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Finding the Third Proportional to 827,228,014 and 1,792,322,320

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Solution

The third proportional to 827,228,014 and 1,792,322,320 is: 3,883,354,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,228,014 : 1,792,322,320 = 1,792,322,320 : x
  2. Step 2: Convert to fraction form
    827,228,014/1,792,322,320 = 1,792,322,320/x
  3. Step 3: Cross multiply
    827,228,014x = 1,792,322,320 × 1,792,322,320
  4. Step 4: Simplify right side
    827,228,014x = 3,212,419,298,770,182,144
  5. Step 5: Solve for x
    x = 3,212,419,298,770,182,144/827,228,014
  6. Step 6: Final answer
    x = 3,883,354,098.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.