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Finding the Third Proportional to 6,295,797 and 13,766,022

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Solution

The third proportional to 6,295,797 and 13,766,022 is: 30,099,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295,797 : 13,766,022 = 13,766,022 : x
  2. Step 2: Convert to fraction form
    6,295,797/13,766,022 = 13,766,022/x
  3. Step 3: Cross multiply
    6,295,797x = 13,766,022 × 13,766,022
  4. Step 4: Simplify right side
    6,295,797x = 189,503,361,704,484
  5. Step 5: Solve for x
    x = 189,503,361,704,484/6,295,797
  6. Step 6: Final answer
    x = 30,099,979.67

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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.