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Finding the Third Proportional to 4,647,840 and 10,067,509

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Solution

The third proportional to 4,647,840 and 10,067,509 is: 21,806,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647,840 : 10,067,509 = 10,067,509 : x
  2. Step 2: Convert to fraction form
    4,647,840/10,067,509 = 10,067,509/x
  3. Step 3: Cross multiply
    4,647,840x = 10,067,509 × 10,067,509
  4. Step 4: Simplify right side
    4,647,840x = 101,354,737,465,081
  5. Step 5: Solve for x
    x = 101,354,737,465,081/4,647,840
  6. Step 6: Final answer
    x = 21,806,847.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.