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Finding the Third Proportional to 11,682,381 and 25,567,041

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Solution

The third proportional to 11,682,381 and 25,567,041 is: 55,953,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682,381 : 25,567,041 = 25,567,041 : x
  2. Step 2: Convert to fraction form
    11,682,381/25,567,041 = 25,567,041/x
  3. Step 3: Cross multiply
    11,682,381x = 25,567,041 × 25,567,041
  4. Step 4: Simplify right side
    11,682,381x = 653,673,585,495,681
  5. Step 5: Solve for x
    x = 653,673,585,495,681/11,682,381
  6. Step 6: Final answer
    x = 55,953,797.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.