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Finding the Third Proportional to 1,193,647,696 and 2,568,693,984

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Solution

The third proportional to 1,193,647,696 and 2,568,693,984 is: 5,527,752,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,647,696 : 2,568,693,984 = 2,568,693,984 : x
  2. Step 2: Convert to fraction form
    1,193,647,696/2,568,693,984 = 2,568,693,984/x
  3. Step 3: Cross multiply
    1,193,647,696x = 2,568,693,984 × 2,568,693,984
  4. Step 4: Simplify right side
    1,193,647,696x = 6,598,188,783,437,792,256
  5. Step 5: Solve for x
    x = 6,598,188,783,437,792,256/1,193,647,696
  6. Step 6: Final answer
    x = 5,527,752,288.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.