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Finding the Third Proportional to 9,852,839 and 15,689,874

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Solution

The third proportional to 9,852,839 and 15,689,874 is: 24,984,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852,839 : 15,689,874 = 15,689,874 : x
  2. Step 2: Convert to fraction form
    9,852,839/15,689,874 = 15,689,874/x
  3. Step 3: Cross multiply
    9,852,839x = 15,689,874 × 15,689,874
  4. Step 4: Simplify right side
    9,852,839x = 246,172,146,135,876
  5. Step 5: Solve for x
    x = 246,172,146,135,876/9,852,839
  6. Step 6: Final answer
    x = 24,984,894.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.