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Finding the Third Proportional to 6,672,120 and 14,289,024

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Solution

The third proportional to 6,672,120 and 14,289,024 is: 30,601,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672,120 : 14,289,024 = 14,289,024 : x
  2. Step 2: Convert to fraction form
    6,672,120/14,289,024 = 14,289,024/x
  3. Step 3: Cross multiply
    6,672,120x = 14,289,024 × 14,289,024
  4. Step 4: Simplify right side
    6,672,120x = 204,176,206,872,576
  5. Step 5: Solve for x
    x = 204,176,206,872,576/6,672,120
  6. Step 6: Final answer
    x = 30,601,399.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.