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Finding the Third Proportional to 4,757,805 and 7,660,791

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Solution

The third proportional to 4,757,805 and 7,660,791 is: 12,335,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,805 : 7,660,791 = 7,660,791 : x
  2. Step 2: Convert to fraction form
    4,757,805/7,660,791 = 7,660,791/x
  3. Step 3: Cross multiply
    4,757,805x = 7,660,791 × 7,660,791
  4. Step 4: Simplify right side
    4,757,805x = 58,687,718,745,681
  5. Step 5: Solve for x
    x = 58,687,718,745,681/4,757,805
  6. Step 6: Final answer
    x = 12,335,040.79

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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.