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Finding the Third Proportional to 7,827,979 and 15,876,063

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Solution

The third proportional to 7,827,979 and 15,876,063 is: 32,198,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,979 : 15,876,063 = 15,876,063 : x
  2. Step 2: Convert to fraction form
    7,827,979/15,876,063 = 15,876,063/x
  3. Step 3: Cross multiply
    7,827,979x = 15,876,063 × 15,876,063
  4. Step 4: Simplify right side
    7,827,979x = 252,049,376,379,969
  5. Step 5: Solve for x
    x = 252,049,376,379,969/7,827,979
  6. Step 6: Final answer
    x = 32,198,524.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.