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Finding the Third Proportional to 6,553,286 and 10,257,609

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Solution

The third proportional to 6,553,286 and 10,257,609 is: 16,055,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,286 : 10,257,609 = 10,257,609 : x
  2. Step 2: Convert to fraction form
    6,553,286/10,257,609 = 10,257,609/x
  3. Step 3: Cross multiply
    6,553,286x = 10,257,609 × 10,257,609
  4. Step 4: Simplify right side
    6,553,286x = 105,218,542,396,881
  5. Step 5: Solve for x
    x = 105,218,542,396,881/6,553,286
  6. Step 6: Final answer
    x = 16,055,844.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.