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Finding the Third Proportional to 3,783,236 and 8,230,024

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Solution

The third proportional to 3,783,236 and 8,230,024 is: 17,903,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,236 : 8,230,024 = 8,230,024 : x
  2. Step 2: Convert to fraction form
    3,783,236/8,230,024 = 8,230,024/x
  3. Step 3: Cross multiply
    3,783,236x = 8,230,024 × 8,230,024
  4. Step 4: Simplify right side
    3,783,236x = 67,733,295,040,576
  5. Step 5: Solve for x
    x = 67,733,295,040,576/3,783,236
  6. Step 6: Final answer
    x = 17,903,534.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.