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Finding the Third Proportional to 12,408,517 and 18,625,906.50

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Solution

The third proportional to 12,408,517 and 18,625,906.50 is: 27,958,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408,517 : 18,625,906.50 = 18,625,906.50 : x
  2. Step 2: Convert to fraction form
    12,408,517/18,625,906.50 = 18,625,906.50/x
  3. Step 3: Cross multiply
    12,408,517x = 18,625,906.50 × 18,625,906.50
  4. Step 4: Simplify right side
    12,408,517x = 346,924,392,946,742.25
  5. Step 5: Solve for x
    x = 346,924,392,946,742.25/12,408,517
  6. Step 6: Final answer
    x = 27,958,570.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.