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Finding the Third Proportional to 6,419,661 and 13,063,524

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Solution

The third proportional to 6,419,661 and 13,063,524 is: 26,583,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,661 : 13,063,524 = 13,063,524 : x
  2. Step 2: Convert to fraction form
    6,419,661/13,063,524 = 13,063,524/x
  3. Step 3: Cross multiply
    6,419,661x = 13,063,524 × 13,063,524
  4. Step 4: Simplify right side
    6,419,661x = 170,655,659,298,576
  5. Step 5: Solve for x
    x = 170,655,659,298,576/6,419,661
  6. Step 6: Final answer
    x = 26,583,282.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.