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Finding the Third Proportional to 11,105,469 and 24,762,991

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Solution

The third proportional to 11,105,469 and 24,762,991 is: 55,216,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105,469 : 24,762,991 = 24,762,991 : x
  2. Step 2: Convert to fraction form
    11,105,469/24,762,991 = 24,762,991/x
  3. Step 3: Cross multiply
    11,105,469x = 24,762,991 × 24,762,991
  4. Step 4: Simplify right side
    11,105,469x = 613,205,723,266,081
  5. Step 5: Solve for x
    x = 613,205,723,266,081/11,105,469
  6. Step 6: Final answer
    x = 55,216,553.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.