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Finding the Third Proportional to 11,743,176 and 25,440,576

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Solution

The third proportional to 11,743,176 and 25,440,576 is: 55,114,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743,176 : 25,440,576 = 25,440,576 : x
  2. Step 2: Convert to fraction form
    11,743,176/25,440,576 = 25,440,576/x
  3. Step 3: Cross multiply
    11,743,176x = 25,440,576 × 25,440,576
  4. Step 4: Simplify right side
    11,743,176x = 647,222,907,211,776
  5. Step 5: Solve for x
    x = 647,222,907,211,776/11,743,176
  6. Step 6: Final answer
    x = 55,114,809.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.