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Finding the Third Proportional to 7,786,595 and 16,771,241

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Solution

The third proportional to 7,786,595 and 16,771,241 is: 36,122,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786,595 : 16,771,241 = 16,771,241 : x
  2. Step 2: Convert to fraction form
    7,786,595/16,771,241 = 16,771,241/x
  3. Step 3: Cross multiply
    7,786,595x = 16,771,241 × 16,771,241
  4. Step 4: Simplify right side
    7,786,595x = 281,274,524,680,081
  5. Step 5: Solve for x
    x = 281,274,524,680,081/7,786,595
  6. Step 6: Final answer
    x = 36,122,916.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.