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Finding the Third Proportional to 35,850,956 and 78,595,876

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Solution

The third proportional to 35,850,956 and 78,595,876 is: 172,305,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,850,956 : 78,595,876 = 78,595,876 : x
  2. Step 2: Convert to fraction form
    35,850,956/78,595,876 = 78,595,876/x
  3. Step 3: Cross multiply
    35,850,956x = 78,595,876 × 78,595,876
  4. Step 4: Simplify right side
    35,850,956x = 6,177,311,724,207,376
  5. Step 5: Solve for x
    x = 6,177,311,724,207,376/35,850,956
  6. Step 6: Final answer
    x = 172,305,355.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.