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Finding the Third Proportional to 6,597,373.50 and 9,290,382.75

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Solution

The third proportional to 6,597,373.50 and 9,290,382.75 is: 13,082,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597,373.50 : 9,290,382.75 = 9,290,382.75 : x
  2. Step 2: Convert to fraction form
    6,597,373.50/9,290,382.75 = 9,290,382.75/x
  3. Step 3: Cross multiply
    6,597,373.50x = 9,290,382.75 × 9,290,382.75
  4. Step 4: Simplify right side
    6,597,373.50x = 86,311,211,641,497.56
  5. Step 5: Solve for x
    x = 86,311,211,641,497.56/6,597,373.50
  6. Step 6: Final answer
    x = 13,082,662.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.