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Finding the Third Proportional to 11,052,291 and 23,784,198

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Solution

The third proportional to 11,052,291 and 23,784,198 is: 51,182,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052,291 : 23,784,198 = 23,784,198 : x
  2. Step 2: Convert to fraction form
    11,052,291/23,784,198 = 23,784,198/x
  3. Step 3: Cross multiply
    11,052,291x = 23,784,198 × 23,784,198
  4. Step 4: Simplify right side
    11,052,291x = 565,688,074,503,204
  5. Step 5: Solve for x
    x = 565,688,074,503,204/11,052,291
  6. Step 6: Final answer
    x = 51,182,879.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.