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Finding the Third Proportional to 6,391,988 and 13,732,647

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Solution

The third proportional to 6,391,988 and 13,732,647 is: 29,503,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391,988 : 13,732,647 = 13,732,647 : x
  2. Step 2: Convert to fraction form
    6,391,988/13,732,647 = 13,732,647/x
  3. Step 3: Cross multiply
    6,391,988x = 13,732,647 × 13,732,647
  4. Step 4: Simplify right side
    6,391,988x = 188,585,593,626,609
  5. Step 5: Solve for x
    x = 188,585,593,626,609/6,391,988
  6. Step 6: Final answer
    x = 29,503,433.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.