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Finding the Third Proportional to 6,439,404 and 13,407,576

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Solution

The third proportional to 6,439,404 and 13,407,576 is: 27,916,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439,404 : 13,407,576 = 13,407,576 : x
  2. Step 2: Convert to fraction form
    6,439,404/13,407,576 = 13,407,576/x
  3. Step 3: Cross multiply
    6,439,404x = 13,407,576 × 13,407,576
  4. Step 4: Simplify right side
    6,439,404x = 179,763,094,195,776
  5. Step 5: Solve for x
    x = 179,763,094,195,776/6,439,404
  6. Step 6: Final answer
    x = 27,916,107.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.