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Finding the Third Proportional to 9,035,405 and 13,764,837

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Solution

The third proportional to 9,035,405 and 13,764,837 is: 20,969,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035,405 : 13,764,837 = 13,764,837 : x
  2. Step 2: Convert to fraction form
    9,035,405/13,764,837 = 13,764,837/x
  3. Step 3: Cross multiply
    9,035,405x = 13,764,837 × 13,764,837
  4. Step 4: Simplify right side
    9,035,405x = 189,470,737,636,569
  5. Step 5: Solve for x
    x = 189,470,737,636,569/9,035,405
  6. Step 6: Final answer
    x = 20,969,811.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.