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Finding the Third Proportional to 11,147,652 and 16,291,338.75

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Solution

The third proportional to 11,147,652 and 16,291,338.75 is: 23,808,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147,652 : 16,291,338.75 = 16,291,338.75 : x
  2. Step 2: Convert to fraction form
    11,147,652/16,291,338.75 = 16,291,338.75/x
  3. Step 3: Cross multiply
    11,147,652x = 16,291,338.75 × 16,291,338.75
  4. Step 4: Simplify right side
    11,147,652x = 265,407,718,267,251.56
  5. Step 5: Solve for x
    x = 265,407,718,267,251.56/11,147,652
  6. Step 6: Final answer
    x = 23,808,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.