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Finding the Third Proportional to 7,987,277 and 17,494,920

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Solution

The third proportional to 7,987,277 and 17,494,920 is: 38,319,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987,277 : 17,494,920 = 17,494,920 : x
  2. Step 2: Convert to fraction form
    7,987,277/17,494,920 = 17,494,920/x
  3. Step 3: Cross multiply
    7,987,277x = 17,494,920 × 17,494,920
  4. Step 4: Simplify right side
    7,987,277x = 306,072,225,806,400
  5. Step 5: Solve for x
    x = 306,072,225,806,400/7,987,277
  6. Step 6: Final answer
    x = 38,319,971.35

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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.