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Finding the Third Proportional to 5,280,224 and 10,965,119

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Solution

The third proportional to 5,280,224 and 10,965,119 is: 22,770,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,224 : 10,965,119 = 10,965,119 : x
  2. Step 2: Convert to fraction form
    5,280,224/10,965,119 = 10,965,119/x
  3. Step 3: Cross multiply
    5,280,224x = 10,965,119 × 10,965,119
  4. Step 4: Simplify right side
    5,280,224x = 120,233,834,684,161
  5. Step 5: Solve for x
    x = 120,233,834,684,161/5,280,224
  6. Step 6: Final answer
    x = 22,770,593.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.