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Finding the Third Proportional to 5,266,960 and 11,332,976

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Solution

The third proportional to 5,266,960 and 11,332,976 is: 24,385,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266,960 : 11,332,976 = 11,332,976 : x
  2. Step 2: Convert to fraction form
    5,266,960/11,332,976 = 11,332,976/x
  3. Step 3: Cross multiply
    5,266,960x = 11,332,976 × 11,332,976
  4. Step 4: Simplify right side
    5,266,960x = 128,436,345,016,576
  5. Step 5: Solve for x
    x = 128,436,345,016,576/5,266,960
  6. Step 6: Final answer
    x = 24,385,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.