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Finding the Third Proportional to 5,992,214 and 12,942,115

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Solution

The third proportional to 5,992,214 and 12,942,115 is: 27,952,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,214 : 12,942,115 = 12,942,115 : x
  2. Step 2: Convert to fraction form
    5,992,214/12,942,115 = 12,942,115/x
  3. Step 3: Cross multiply
    5,992,214x = 12,942,115 × 12,942,115
  4. Step 4: Simplify right side
    5,992,214x = 167,498,340,673,225
  5. Step 5: Solve for x
    x = 167,498,340,673,225/5,992,214
  6. Step 6: Final answer
    x = 27,952,663.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.