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Finding the Third Proportional to 11,861,194.50 and 24,052,443.75

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Solution

The third proportional to 11,861,194.50 and 24,052,443.75 is: 48,774,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861,194.50 : 24,052,443.75 = 24,052,443.75 : x
  2. Step 2: Convert to fraction form
    11,861,194.50/24,052,443.75 = 24,052,443.75/x
  3. Step 3: Cross multiply
    11,861,194.50x = 24,052,443.75 × 24,052,443.75
  4. Step 4: Simplify right side
    11,861,194.50x = 578,520,050,346,914
  5. Step 5: Solve for x
    x = 578,520,050,346,914/11,861,194.50
  6. Step 6: Final answer
    x = 48,774,181.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.