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Finding the Third Proportional to 5,299,419 and 11,643,942.75

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Solution

The third proportional to 5,299,419 and 11,643,942.75 is: 25,584,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,419 : 11,643,942.75 = 11,643,942.75 : x
  2. Step 2: Convert to fraction form
    5,299,419/11,643,942.75 = 11,643,942.75/x
  3. Step 3: Cross multiply
    5,299,419x = 11,643,942.75 × 11,643,942.75
  4. Step 4: Simplify right side
    5,299,419x = 135,581,402,765,277.56
  5. Step 5: Solve for x
    x = 135,581,402,765,277.56/5,299,419
  6. Step 6: Final answer
    x = 25,584,201.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.