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Finding the Third Proportional to 5,199,887 and 11,594,695

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Solution

The third proportional to 5,199,887 and 11,594,695 is: 25,853,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,887 : 11,594,695 = 11,594,695 : x
  2. Step 2: Convert to fraction form
    5,199,887/11,594,695 = 11,594,695/x
  3. Step 3: Cross multiply
    5,199,887x = 11,594,695 × 11,594,695
  4. Step 4: Simplify right side
    5,199,887x = 134,436,952,143,025
  5. Step 5: Solve for x
    x = 134,436,952,143,025/5,199,887
  6. Step 6: Final answer
    x = 25,853,821.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.