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Finding the Third Proportional to 5,707,706.25 and 8,609,943.75

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Solution

The third proportional to 5,707,706.25 and 8,609,943.75 is: 12,987,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,706.25 : 8,609,943.75 = 8,609,943.75 : x
  2. Step 2: Convert to fraction form
    5,707,706.25/8,609,943.75 = 8,609,943.75/x
  3. Step 3: Cross multiply
    5,707,706.25x = 8,609,943.75 × 8,609,943.75
  4. Step 4: Simplify right side
    5,707,706.25x = 74,131,131,378,164.06
  5. Step 5: Solve for x
    x = 74,131,131,378,164.06/5,707,706.25
  6. Step 6: Final answer
    x = 12,987,902.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.