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Finding the Third Proportional to 3,175,093.69 and 4,769,793.84

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Solution

The third proportional to 3,175,093.69 and 4,769,793.84 is: 7,165,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175,093.69 : 4,769,793.84 = 4,769,793.84 : x
  2. Step 2: Convert to fraction form
    3,175,093.69/4,769,793.84 = 4,769,793.84/x
  3. Step 3: Cross multiply
    3,175,093.69x = 4,769,793.84 × 4,769,793.84
  4. Step 4: Simplify right side
    3,175,093.69x = 22,750,933,311,875.40
  5. Step 5: Solve for x
    x = 22,750,933,311,875.40/3,175,093.69
  6. Step 6: Final answer
    x = 7,165,436.85

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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.