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Finding the Third Proportional to 10,469,694 and 15,715,621

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Solution

The third proportional to 10,469,694 and 15,715,621 is: 23,590,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,694 : 15,715,621 = 15,715,621 : x
  2. Step 2: Convert to fraction form
    10,469,694/15,715,621 = 15,715,621/x
  3. Step 3: Cross multiply
    10,469,694x = 15,715,621 × 15,715,621
  4. Step 4: Simplify right side
    10,469,694x = 246,980,743,415,641
  5. Step 5: Solve for x
    x = 246,980,743,415,641/10,469,694
  6. Step 6: Final answer
    x = 23,590,063.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.