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Finding the Third Proportional to 3,408,678 and 7,427,532

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Solution

The third proportional to 3,408,678 and 7,427,532 is: 16,184,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408,678 : 7,427,532 = 7,427,532 : x
  2. Step 2: Convert to fraction form
    3,408,678/7,427,532 = 7,427,532/x
  3. Step 3: Cross multiply
    3,408,678x = 7,427,532 × 7,427,532
  4. Step 4: Simplify right side
    3,408,678x = 55,168,231,611,024
  5. Step 5: Solve for x
    x = 55,168,231,611,024/3,408,678
  6. Step 6: Final answer
    x = 16,184,641.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.