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Finding the Third Proportional to 7,584,619.50 and 16,715,225.88

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Solution

The third proportional to 7,584,619.50 and 16,715,225.88 is: 36,837,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584,619.50 : 16,715,225.88 = 16,715,225.88 : x
  2. Step 2: Convert to fraction form
    7,584,619.50/16,715,225.88 = 16,715,225.88/x
  3. Step 3: Cross multiply
    7,584,619.50x = 16,715,225.88 × 16,715,225.88
  4. Step 4: Simplify right side
    7,584,619.50x = 279,398,776,052,269.50
  5. Step 5: Solve for x
    x = 279,398,776,052,269.50/7,584,619.50
  6. Step 6: Final answer
    x = 36,837,546.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.