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Finding the Third Proportional to 12,474,736 and 18,661,332

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Solution

The third proportional to 12,474,736 and 18,661,332 is: 27,916,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474,736 : 18,661,332 = 18,661,332 : x
  2. Step 2: Convert to fraction form
    12,474,736/18,661,332 = 18,661,332/x
  3. Step 3: Cross multiply
    12,474,736x = 18,661,332 × 18,661,332
  4. Step 4: Simplify right side
    12,474,736x = 348,245,312,014,224
  5. Step 5: Solve for x
    x = 348,245,312,014,224/12,474,736
  6. Step 6: Final answer
    x = 27,916,046.64

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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.