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Finding the Third Proportional to 5,192,146 and 11,363,086

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Solution

The third proportional to 5,192,146 and 11,363,086 is: 24,868,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,146 : 11,363,086 = 11,363,086 : x
  2. Step 2: Convert to fraction form
    5,192,146/11,363,086 = 11,363,086/x
  3. Step 3: Cross multiply
    5,192,146x = 11,363,086 × 11,363,086
  4. Step 4: Simplify right side
    5,192,146x = 129,119,723,443,396
  5. Step 5: Solve for x
    x = 129,119,723,443,396/5,192,146
  6. Step 6: Final answer
    x = 24,868,276.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.