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Finding the Third Proportional to 6,611,920 and 10,017,682

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Solution

The third proportional to 6,611,920 and 10,017,682 is: 15,177,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,920 : 10,017,682 = 10,017,682 : x
  2. Step 2: Convert to fraction form
    6,611,920/10,017,682 = 10,017,682/x
  3. Step 3: Cross multiply
    6,611,920x = 10,017,682 × 10,017,682
  4. Step 4: Simplify right side
    6,611,920x = 100,353,952,653,124
  5. Step 5: Solve for x
    x = 100,353,952,653,124/6,611,920
  6. Step 6: Final answer
    x = 15,177,732.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.