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Finding the Third Proportional to 12,383,880 and 18,211,822

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Solution

The third proportional to 12,383,880 and 18,211,822 is: 26,782,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383,880 : 18,211,822 = 18,211,822 : x
  2. Step 2: Convert to fraction form
    12,383,880/18,211,822 = 18,211,822/x
  3. Step 3: Cross multiply
    12,383,880x = 18,211,822 × 18,211,822
  4. Step 4: Simplify right side
    12,383,880x = 331,670,460,559,684
  5. Step 5: Solve for x
    x = 331,670,460,559,684/12,383,880
  6. Step 6: Final answer
    x = 26,782,434.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.