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Finding the Third Proportional to 5,706,408 and 11,612,100

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Solution

The third proportional to 5,706,408 and 11,612,100 is: 23,629,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706,408 : 11,612,100 = 11,612,100 : x
  2. Step 2: Convert to fraction form
    5,706,408/11,612,100 = 11,612,100/x
  3. Step 3: Cross multiply
    5,706,408x = 11,612,100 × 11,612,100
  4. Step 4: Simplify right side
    5,706,408x = 134,840,866,410,000
  5. Step 5: Solve for x
    x = 134,840,866,410,000/5,706,408
  6. Step 6: Final answer
    x = 23,629,727.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.