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Finding the Third Proportional to 9,436,684 and 20,639,635

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Solution

The third proportional to 9,436,684 and 20,639,635 is: 45,142,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436,684 : 20,639,635 = 20,639,635 : x
  2. Step 2: Convert to fraction form
    9,436,684/20,639,635 = 20,639,635/x
  3. Step 3: Cross multiply
    9,436,684x = 20,639,635 × 20,639,635
  4. Step 4: Simplify right side
    9,436,684x = 425,994,532,933,225
  5. Step 5: Solve for x
    x = 425,994,532,933,225/9,436,684
  6. Step 6: Final answer
    x = 45,142,396.73

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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.