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Finding the Third Proportional to 10,384,296 and 22,726,184

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Solution

The third proportional to 10,384,296 and 22,726,184 is: 49,736,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384,296 : 22,726,184 = 22,726,184 : x
  2. Step 2: Convert to fraction form
    10,384,296/22,726,184 = 22,726,184/x
  3. Step 3: Cross multiply
    10,384,296x = 22,726,184 × 22,726,184
  4. Step 4: Simplify right side
    10,384,296x = 516,479,439,201,856
  5. Step 5: Solve for x
    x = 516,479,439,201,856/10,384,296
  6. Step 6: Final answer
    x = 49,736,586.78

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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.