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Finding the Third Proportional to 4,212,399 and 9,096,024

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Solution

The third proportional to 4,212,399 and 9,096,024 is: 19,641,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,399 : 9,096,024 = 9,096,024 : x
  2. Step 2: Convert to fraction form
    4,212,399/9,096,024 = 9,096,024/x
  3. Step 3: Cross multiply
    4,212,399x = 9,096,024 × 9,096,024
  4. Step 4: Simplify right side
    4,212,399x = 82,737,652,608,576
  5. Step 5: Solve for x
    x = 82,737,652,608,576/4,212,399
  6. Step 6: Final answer
    x = 19,641,456.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.