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Finding the Third Proportional to 6,794,974 and 14,376,986

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Solution

The third proportional to 6,794,974 and 14,376,986 is: 30,419,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794,974 : 14,376,986 = 14,376,986 : x
  2. Step 2: Convert to fraction form
    6,794,974/14,376,986 = 14,376,986/x
  3. Step 3: Cross multiply
    6,794,974x = 14,376,986 × 14,376,986
  4. Step 4: Simplify right side
    6,794,974x = 206,697,726,444,196
  5. Step 5: Solve for x
    x = 206,697,726,444,196/6,794,974
  6. Step 6: Final answer
    x = 30,419,207.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.