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Finding the Third Proportional to 11,757,725 and 23,987,824

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Solution

The third proportional to 11,757,725 and 23,987,824 is: 48,939,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757,725 : 23,987,824 = 23,987,824 : x
  2. Step 2: Convert to fraction form
    11,757,725/23,987,824 = 23,987,824/x
  3. Step 3: Cross multiply
    11,757,725x = 23,987,824 × 23,987,824
  4. Step 4: Simplify right side
    11,757,725x = 575,415,700,254,976
  5. Step 5: Solve for x
    x = 575,415,700,254,976/11,757,725
  6. Step 6: Final answer
    x = 48,939,373.92

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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.