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Finding the Third Proportional to 5,346,236 and 11,527,096

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Solution

The third proportional to 5,346,236 and 11,527,096 is: 24,853,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,236 : 11,527,096 = 11,527,096 : x
  2. Step 2: Convert to fraction form
    5,346,236/11,527,096 = 11,527,096/x
  3. Step 3: Cross multiply
    5,346,236x = 11,527,096 × 11,527,096
  4. Step 4: Simplify right side
    5,346,236x = 132,873,942,193,216
  5. Step 5: Solve for x
    x = 132,873,942,193,216/5,346,236
  6. Step 6: Final answer
    x = 24,853,736.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.