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Finding the Third Proportional to 61,319,238 and 133,524,876

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Solution

The third proportional to 61,319,238 and 133,524,876 is: 290,755,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,319,238 : 133,524,876 = 133,524,876 : x
  2. Step 2: Convert to fraction form
    61,319,238/133,524,876 = 133,524,876/x
  3. Step 3: Cross multiply
    61,319,238x = 133,524,876 × 133,524,876
  4. Step 4: Simplify right side
    61,319,238x = 17,828,892,510,815,376
  5. Step 5: Solve for x
    x = 17,828,892,510,815,376/61,319,238
  6. Step 6: Final answer
    x = 290,755,284.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.