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Finding the Third Proportional to 4,757,809 and 7,660,797

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Solution

The third proportional to 4,757,809 and 7,660,797 is: 12,335,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,809 : 7,660,797 = 7,660,797 : x
  2. Step 2: Convert to fraction form
    4,757,809/7,660,797 = 7,660,797/x
  3. Step 3: Cross multiply
    4,757,809x = 7,660,797 × 7,660,797
  4. Step 4: Simplify right side
    4,757,809x = 58,687,810,675,209
  5. Step 5: Solve for x
    x = 58,687,810,675,209/4,757,809
  6. Step 6: Final answer
    x = 12,335,049.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.