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Finding the Third Proportional to 5,835,069 and 12,568,995

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Solution

The third proportional to 5,835,069 and 12,568,995 is: 27,074,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835,069 : 12,568,995 = 12,568,995 : x
  2. Step 2: Convert to fraction form
    5,835,069/12,568,995 = 12,568,995/x
  3. Step 3: Cross multiply
    5,835,069x = 12,568,995 × 12,568,995
  4. Step 4: Simplify right side
    5,835,069x = 157,979,635,310,025
  5. Step 5: Solve for x
    x = 157,979,635,310,025/5,835,069
  6. Step 6: Final answer
    x = 27,074,167.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.