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Finding the Third Proportional to 12,274,586 and 18,411,880

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Solution

The third proportional to 12,274,586 and 18,411,880 is: 27,617,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274,586 : 18,411,880 = 18,411,880 : x
  2. Step 2: Convert to fraction form
    12,274,586/18,411,880 = 18,411,880/x
  3. Step 3: Cross multiply
    12,274,586x = 18,411,880 × 18,411,880
  4. Step 4: Simplify right side
    12,274,586x = 338,997,325,134,400
  5. Step 5: Solve for x
    x = 338,997,325,134,400/12,274,586
  6. Step 6: Final answer
    x = 27,617,821.50

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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.