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Finding the Third Proportional to 8,257,025 and 17,266,923

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Solution

The third proportional to 8,257,025 and 17,266,923 is: 36,108,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257,025 : 17,266,923 = 17,266,923 : x
  2. Step 2: Convert to fraction form
    8,257,025/17,266,923 = 17,266,923/x
  3. Step 3: Cross multiply
    8,257,025x = 17,266,923 × 17,266,923
  4. Step 4: Simplify right side
    8,257,025x = 298,146,629,887,929
  5. Step 5: Solve for x
    x = 298,146,629,887,929/8,257,025
  6. Step 6: Final answer
    x = 36,108,238.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.