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Finding the Third Proportional to 12,972,723 and 19,898,874

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Solution

The third proportional to 12,972,723 and 19,898,874 is: 30,522,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972,723 : 19,898,874 = 19,898,874 : x
  2. Step 2: Convert to fraction form
    12,972,723/19,898,874 = 19,898,874/x
  3. Step 3: Cross multiply
    12,972,723x = 19,898,874 × 19,898,874
  4. Step 4: Simplify right side
    12,972,723x = 395,965,186,467,876
  5. Step 5: Solve for x
    x = 395,965,186,467,876/12,972,723
  6. Step 6: Final answer
    x = 30,522,904.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.