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Finding the Third Proportional to 5,790,538 and 12,723,176

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Solution

The third proportional to 5,790,538 and 12,723,176 is: 27,955,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790,538 : 12,723,176 = 12,723,176 : x
  2. Step 2: Convert to fraction form
    5,790,538/12,723,176 = 12,723,176/x
  3. Step 3: Cross multiply
    5,790,538x = 12,723,176 × 12,723,176
  4. Step 4: Simplify right side
    5,790,538x = 161,879,207,526,976
  5. Step 5: Solve for x
    x = 161,879,207,526,976/5,790,538
  6. Step 6: Final answer
    x = 27,955,814.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.