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Finding the Third Proportional to 7,841,226 and 16,883,876

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Solution

The third proportional to 7,841,226 and 16,883,876 is: 36,354,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,226 : 16,883,876 = 16,883,876 : x
  2. Step 2: Convert to fraction form
    7,841,226/16,883,876 = 16,883,876/x
  3. Step 3: Cross multiply
    7,841,226x = 16,883,876 × 16,883,876
  4. Step 4: Simplify right side
    7,841,226x = 285,065,268,783,376
  5. Step 5: Solve for x
    x = 285,065,268,783,376/7,841,226
  6. Step 6: Final answer
    x = 36,354,680.86

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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.