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Finding the Third Proportional to 11,476,401.75 and 24,248,055

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Solution

The third proportional to 11,476,401.75 and 24,248,055 is: 51,232,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476,401.75 : 24,248,055 = 24,248,055 : x
  2. Step 2: Convert to fraction form
    11,476,401.75/24,248,055 = 24,248,055/x
  3. Step 3: Cross multiply
    11,476,401.75x = 24,248,055 × 24,248,055
  4. Step 4: Simplify right side
    11,476,401.75x = 587,968,171,283,025
  5. Step 5: Solve for x
    x = 587,968,171,283,025/11,476,401.75
  6. Step 6: Final answer
    x = 51,232,797.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.