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Finding the Third Proportional to 8,226,176 and 17,825,238

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Solution

The third proportional to 8,226,176 and 17,825,238 is: 38,625,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226,176 : 17,825,238 = 17,825,238 : x
  2. Step 2: Convert to fraction form
    8,226,176/17,825,238 = 17,825,238/x
  3. Step 3: Cross multiply
    8,226,176x = 17,825,238 × 17,825,238
  4. Step 4: Simplify right side
    8,226,176x = 317,739,109,756,644
  5. Step 5: Solve for x
    x = 317,739,109,756,644/8,226,176
  6. Step 6: Final answer
    x = 38,625,372.20

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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.