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Finding the Third Proportional to 5,552,722.50 and 12,381,468.75

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Solution

The third proportional to 5,552,722.50 and 12,381,468.75 is: 27,608,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552,722.50 : 12,381,468.75 = 12,381,468.75 : x
  2. Step 2: Convert to fraction form
    5,552,722.50/12,381,468.75 = 12,381,468.75/x
  3. Step 3: Cross multiply
    5,552,722.50x = 12,381,468.75 × 12,381,468.75
  4. Step 4: Simplify right side
    5,552,722.50x = 153,300,768,407,226.56
  5. Step 5: Solve for x
    x = 153,300,768,407,226.56/5,552,722.50
  6. Step 6: Final answer
    x = 27,608,217.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.