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Finding the Third Proportional to 5,862,193 and 12,727,039

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Solution

The third proportional to 5,862,193 and 12,727,039 is: 27,630,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862,193 : 12,727,039 = 12,727,039 : x
  2. Step 2: Convert to fraction form
    5,862,193/12,727,039 = 12,727,039/x
  3. Step 3: Cross multiply
    5,862,193x = 12,727,039 × 12,727,039
  4. Step 4: Simplify right side
    5,862,193x = 161,977,521,707,521
  5. Step 5: Solve for x
    x = 161,977,521,707,521/5,862,193
  6. Step 6: Final answer
    x = 27,630,874.95

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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.