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Finding the Third Proportional to 6,381,466 and 13,659,956

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Solution

The third proportional to 6,381,466 and 13,659,956 is: 29,240,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,466 : 13,659,956 = 13,659,956 : x
  2. Step 2: Convert to fraction form
    6,381,466/13,659,956 = 13,659,956/x
  3. Step 3: Cross multiply
    6,381,466x = 13,659,956 × 13,659,956
  4. Step 4: Simplify right side
    6,381,466x = 186,594,397,921,936
  5. Step 5: Solve for x
    x = 186,594,397,921,936/6,381,466
  6. Step 6: Final answer
    x = 29,240,052.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.