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Finding the Third Proportional to 678,231,471 and 1,469,164,020

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Solution

The third proportional to 678,231,471 and 1,469,164,020 is: 3,182,457,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,231,471 : 1,469,164,020 = 1,469,164,020 : x
  2. Step 2: Convert to fraction form
    678,231,471/1,469,164,020 = 1,469,164,020/x
  3. Step 3: Cross multiply
    678,231,471x = 1,469,164,020 × 1,469,164,020
  4. Step 4: Simplify right side
    678,231,471x = 2,158,442,917,662,560,512
  5. Step 5: Solve for x
    x = 2,158,442,917,662,560,512/678,231,471
  6. Step 6: Final answer
    x = 3,182,457,626.86

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