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Finding the Third Proportional to 4,377,766.50 and 6,993,414

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Solution

The third proportional to 4,377,766.50 and 6,993,414 is: 11,171,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377,766.50 : 6,993,414 = 6,993,414 : x
  2. Step 2: Convert to fraction form
    4,377,766.50/6,993,414 = 6,993,414/x
  3. Step 3: Cross multiply
    4,377,766.50x = 6,993,414 × 6,993,414
  4. Step 4: Simplify right side
    4,377,766.50x = 48,907,839,375,396
  5. Step 5: Solve for x
    x = 48,907,839,375,396/4,377,766.50
  6. Step 6: Final answer
    x = 11,171,870.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.