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Finding the Third Proportional to 33,690,645 and 68,974,879.50

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Solution

The third proportional to 33,690,645 and 68,974,879.50 is: 141,212,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690,645 : 68,974,879.50 = 68,974,879.50 : x
  2. Step 2: Convert to fraction form
    33,690,645/68,974,879.50 = 68,974,879.50/x
  3. Step 3: Cross multiply
    33,690,645x = 68,974,879.50 × 68,974,879.50
  4. Step 4: Simplify right side
    33,690,645x = 4,757,534,002,039,520
  5. Step 5: Solve for x
    x = 4,757,534,002,039,520/33,690,645
  6. Step 6: Final answer
    x = 141,212,315.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.