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Finding the Third Proportional to 588,470,797.50 and 1,270,554,567

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Solution

The third proportional to 588,470,797.50 and 1,270,554,567 is: 2,743,226,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,470,797.50 : 1,270,554,567 = 1,270,554,567 : x
  2. Step 2: Convert to fraction form
    588,470,797.50/1,270,554,567 = 1,270,554,567/x
  3. Step 3: Cross multiply
    588,470,797.50x = 1,270,554,567 × 1,270,554,567
  4. Step 4: Simplify right side
    588,470,797.50x = 1,614,308,907,724,557,568
  5. Step 5: Solve for x
    x = 1,614,308,907,724,557,568/588,470,797.50
  6. Step 6: Final answer
    x = 2,743,226,876.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.