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Finding the Third Proportional to 7,975,165 and 17,494,339

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Solution

The third proportional to 7,975,165 and 17,494,339 is: 38,375,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,165 : 17,494,339 = 17,494,339 : x
  2. Step 2: Convert to fraction form
    7,975,165/17,494,339 = 17,494,339/x
  3. Step 3: Cross multiply
    7,975,165x = 17,494,339 × 17,494,339
  4. Step 4: Simplify right side
    7,975,165x = 306,051,897,046,921
  5. Step 5: Solve for x
    x = 306,051,897,046,921/7,975,165
  6. Step 6: Final answer
    x = 38,375,619.44

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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.