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Finding the Third Proportional to 11,821,952.25 and 25,467,610.50

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Solution

The third proportional to 11,821,952.25 and 25,467,610.50 is: 54,863,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821,952.25 : 25,467,610.50 = 25,467,610.50 : x
  2. Step 2: Convert to fraction form
    11,821,952.25/25,467,610.50 = 25,467,610.50/x
  3. Step 3: Cross multiply
    11,821,952.25x = 25,467,610.50 × 25,467,610.50
  4. Step 4: Simplify right side
    11,821,952.25x = 648,599,184,579,710.25
  5. Step 5: Solve for x
    x = 648,599,184,579,710.25/11,821,952.25
  6. Step 6: Final answer
    x = 54,863,965.85

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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.