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Finding the Third Proportional to 1,279,792,683 and 2,740,983,651

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Solution

The third proportional to 1,279,792,683 and 2,740,983,651 is: 5,870,475,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,792,683 : 2,740,983,651 = 2,740,983,651 : x
  2. Step 2: Convert to fraction form
    1,279,792,683/2,740,983,651 = 2,740,983,651/x
  3. Step 3: Cross multiply
    1,279,792,683x = 2,740,983,651 × 2,740,983,651
  4. Step 4: Simplify right side
    1,279,792,683x = 7,512,991,375,049,289,728
  5. Step 5: Solve for x
    x = 7,512,991,375,049,289,728/1,279,792,683
  6. Step 6: Final answer
    x = 5,870,475,331.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.