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Finding the Third Proportional to 7,786,597 and 16,771,245

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Solution

The third proportional to 7,786,597 and 16,771,245 is: 36,122,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786,597 : 16,771,245 = 16,771,245 : x
  2. Step 2: Convert to fraction form
    7,786,597/16,771,245 = 16,771,245/x
  3. Step 3: Cross multiply
    7,786,597x = 16,771,245 × 16,771,245
  4. Step 4: Simplify right side
    7,786,597x = 281,274,658,850,025
  5. Step 5: Solve for x
    x = 281,274,658,850,025/7,786,597
  6. Step 6: Final answer
    x = 36,122,924.92

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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.