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Finding the Third Proportional to 8,324,536,224 and 11,965,280,400

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Solution

The third proportional to 8,324,536,224 and 11,965,280,400 is: 17,198,307,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324,536,224 : 11,965,280,400 = 11,965,280,400 : x
  2. Step 2: Convert to fraction form
    8,324,536,224/11,965,280,400 = 11,965,280,400/x
  3. Step 3: Cross multiply
    8,324,536,224x = 11,965,280,400 × 11,965,280,400
  4. Step 4: Simplify right side
    8,324,536,224x = 143,167,935,050,624,155,648
  5. Step 5: Solve for x
    x = 143,167,935,050,624,155,648/8,324,536,224
  6. Step 6: Final answer
    x = 17,198,307,653.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.