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Finding the Third Proportional to 10,431,198 and 15,956,831

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Solution

The third proportional to 10,431,198 and 15,956,831 is: 24,409,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431,198 : 15,956,831 = 15,956,831 : x
  2. Step 2: Convert to fraction form
    10,431,198/15,956,831 = 15,956,831/x
  3. Step 3: Cross multiply
    10,431,198x = 15,956,831 × 15,956,831
  4. Step 4: Simplify right side
    10,431,198x = 254,620,455,562,561
  5. Step 5: Solve for x
    x = 254,620,455,562,561/10,431,198
  6. Step 6: Final answer
    x = 24,409,512.27

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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.