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Finding the Third Proportional to 7,975,190 and 17,494,267

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Solution

The third proportional to 7,975,190 and 17,494,267 is: 38,375,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,190 : 17,494,267 = 17,494,267 : x
  2. Step 2: Convert to fraction form
    7,975,190/17,494,267 = 17,494,267/x
  3. Step 3: Cross multiply
    7,975,190x = 17,494,267 × 17,494,267
  4. Step 4: Simplify right side
    7,975,190x = 306,049,377,867,289
  5. Step 5: Solve for x
    x = 306,049,377,867,289/7,975,190
  6. Step 6: Final answer
    x = 38,375,183.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.