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Finding the Third Proportional to 8,029,874 and 11,446,215

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Solution

The third proportional to 8,029,874 and 11,446,215 is: 16,316,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029,874 : 11,446,215 = 11,446,215 : x
  2. Step 2: Convert to fraction form
    8,029,874/11,446,215 = 11,446,215/x
  3. Step 3: Cross multiply
    8,029,874x = 11,446,215 × 11,446,215
  4. Step 4: Simplify right side
    8,029,874x = 131,015,837,826,225
  5. Step 5: Solve for x
    x = 131,015,837,826,225/8,029,874
  6. Step 6: Final answer
    x = 16,316,051.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.