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Finding the Third Proportional to 4,008,096 and 8,410,068

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Solution

The third proportional to 4,008,096 and 8,410,068 is: 17,646,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008,096 : 8,410,068 = 8,410,068 : x
  2. Step 2: Convert to fraction form
    4,008,096/8,410,068 = 8,410,068/x
  3. Step 3: Cross multiply
    4,008,096x = 8,410,068 × 8,410,068
  4. Step 4: Simplify right side
    4,008,096x = 70,729,243,764,624
  5. Step 5: Solve for x
    x = 70,729,243,764,624/4,008,096
  6. Step 6: Final answer
    x = 17,646,594.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.