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Finding the Third Proportional to 4,465,694.53 and 6,680,692.69

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Solution

The third proportional to 4,465,694.53 and 6,680,692.69 is: 9,994,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465,694.53 : 6,680,692.69 = 6,680,692.69 : x
  2. Step 2: Convert to fraction form
    4,465,694.53/6,680,692.69 = 6,680,692.69/x
  3. Step 3: Cross multiply
    4,465,694.53x = 6,680,692.69 × 6,680,692.69
  4. Step 4: Simplify right side
    4,465,694.53x = 44,631,654,784,815.97
  5. Step 5: Solve for x
    x = 44,631,654,784,815.97/4,465,694.53
  6. Step 6: Final answer
    x = 9,994,336.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.