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Finding the Third Proportional to 274,317,266 and 586,813,828

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Solution

The third proportional to 274,317,266 and 586,813,828 is: 1,255,300,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,317,266 : 586,813,828 = 586,813,828 : x
  2. Step 2: Convert to fraction form
    274,317,266/586,813,828 = 586,813,828/x
  3. Step 3: Cross multiply
    274,317,266x = 586,813,828 × 586,813,828
  4. Step 4: Simplify right side
    274,317,266x = 344,350,468,732,013,568
  5. Step 5: Solve for x
    x = 344,350,468,732,013,568/274,317,266
  6. Step 6: Final answer
    x = 1,255,300,017.21

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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.