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Finding the Third Proportional to 12,474,846 and 18,661,473

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Solution

The third proportional to 12,474,846 and 18,661,473 is: 27,916,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474,846 : 18,661,473 = 18,661,473 : x
  2. Step 2: Convert to fraction form
    12,474,846/18,661,473 = 18,661,473/x
  3. Step 3: Cross multiply
    12,474,846x = 18,661,473 × 18,661,473
  4. Step 4: Simplify right side
    12,474,846x = 348,250,574,529,729
  5. Step 5: Solve for x
    x = 348,250,574,529,729/12,474,846
  6. Step 6: Final answer
    x = 27,916,222.33

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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.