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Finding the Third Proportional to 11,757,720 and 23,987,814

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Solution

The third proportional to 11,757,720 and 23,987,814 is: 48,939,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757,720 : 23,987,814 = 23,987,814 : x
  2. Step 2: Convert to fraction form
    11,757,720/23,987,814 = 23,987,814/x
  3. Step 3: Cross multiply
    11,757,720x = 23,987,814 × 23,987,814
  4. Step 4: Simplify right side
    11,757,720x = 575,415,220,498,596
  5. Step 5: Solve for x
    x = 575,415,220,498,596/11,757,720
  6. Step 6: Final answer
    x = 48,939,353.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.