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Finding the Third Proportional to 6,474,937.50 and 13,987,323

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Solution

The third proportional to 6,474,937.50 and 13,987,323 is: 30,215,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,937.50 : 13,987,323 = 13,987,323 : x
  2. Step 2: Convert to fraction form
    6,474,937.50/13,987,323 = 13,987,323/x
  3. Step 3: Cross multiply
    6,474,937.50x = 13,987,323 × 13,987,323
  4. Step 4: Simplify right side
    6,474,937.50x = 195,645,204,706,329
  5. Step 5: Solve for x
    x = 195,645,204,706,329/6,474,937.50
  6. Step 6: Final answer
    x = 30,215,767.29

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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.