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Finding the Third Proportional to 3,274,314 and 6,887,961

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Solution

The third proportional to 3,274,314 and 6,887,961 is: 14,489,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,314 : 6,887,961 = 6,887,961 : x
  2. Step 2: Convert to fraction form
    3,274,314/6,887,961 = 6,887,961/x
  3. Step 3: Cross multiply
    3,274,314x = 6,887,961 × 6,887,961
  4. Step 4: Simplify right side
    3,274,314x = 47,444,006,737,521
  5. Step 5: Solve for x
    x = 47,444,006,737,521/3,274,314
  6. Step 6: Final answer
    x = 14,489,754.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.