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Finding the Third Proportional to 12,232,824 and 18,348,049

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Solution

The third proportional to 12,232,824 and 18,348,049 is: 27,520,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232,824 : 18,348,049 = 18,348,049 : x
  2. Step 2: Convert to fraction form
    12,232,824/18,348,049 = 18,348,049/x
  3. Step 3: Cross multiply
    12,232,824x = 18,348,049 × 18,348,049
  4. Step 4: Simplify right side
    12,232,824x = 336,650,902,106,401
  5. Step 5: Solve for x
    x = 336,650,902,106,401/12,232,824
  6. Step 6: Final answer
    x = 27,520,293.12

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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.