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Finding the Third Proportional to 7,987,223 and 17,494,810

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Solution

The third proportional to 7,987,223 and 17,494,810 is: 38,319,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,223 : 17,494,810 = 17,494,810 : x
  2. Step 2: Convert to fraction form
    7,987,223/17,494,810 = 17,494,810/x
  3. Step 3: Cross multiply
    7,987,223x = 17,494,810 × 17,494,810
  4. Step 4: Simplify right side
    7,987,223x = 306,068,376,936,100
  5. Step 5: Solve for x
    x = 306,068,376,936,100/7,987,223
  6. Step 6: Final answer
    x = 38,319,748.55

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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.