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Finding the Third Proportional to 1,280,123,676 and 2,792,839,968

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Solution

The third proportional to 1,280,123,676 and 2,792,839,968 is: 6,093,126,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,123,676 : 2,792,839,968 = 2,792,839,968 : x
  2. Step 2: Convert to fraction form
    1,280,123,676/2,792,839,968 = 2,792,839,968/x
  3. Step 3: Cross multiply
    1,280,123,676x = 2,792,839,968 × 2,792,839,968
  4. Step 4: Simplify right side
    1,280,123,676x = 7,799,955,086,858,241,024
  5. Step 5: Solve for x
    x = 7,799,955,086,858,241,024/1,280,123,676
  6. Step 6: Final answer
    x = 6,093,126,182.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.