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Finding the Third Proportional to 11,433,176 and 24,524,096

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Solution

The third proportional to 11,433,176 and 24,524,096 is: 52,604,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433,176 : 24,524,096 = 24,524,096 : x
  2. Step 2: Convert to fraction form
    11,433,176/24,524,096 = 24,524,096/x
  3. Step 3: Cross multiply
    11,433,176x = 24,524,096 × 24,524,096
  4. Step 4: Simplify right side
    11,433,176x = 601,431,284,617,216
  5. Step 5: Solve for x
    x = 601,431,284,617,216/11,433,176
  6. Step 6: Final answer
    x = 52,604,043.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.