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Finding the Third Proportional to 13,996,200 and 30,682,819

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Solution

The third proportional to 13,996,200 and 30,682,819 is: 67,263,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996,200 : 30,682,819 = 30,682,819 : x
  2. Step 2: Convert to fraction form
    13,996,200/30,682,819 = 30,682,819/x
  3. Step 3: Cross multiply
    13,996,200x = 30,682,819 × 30,682,819
  4. Step 4: Simplify right side
    13,996,200x = 941,435,381,786,761
  5. Step 5: Solve for x
    x = 941,435,381,786,761/13,996,200
  6. Step 6: Final answer
    x = 67,263,641.69

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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.