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Finding the Third Proportional to 33,675,486 and 49,253,515.50

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Solution

The third proportional to 33,675,486 and 49,253,515.50 is: 72,037,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,486 : 49,253,515.50 = 49,253,515.50 : x
  2. Step 2: Convert to fraction form
    33,675,486/49,253,515.50 = 49,253,515.50/x
  3. Step 3: Cross multiply
    33,675,486x = 49,253,515.50 × 49,253,515.50
  4. Step 4: Simplify right side
    33,675,486x = 2,425,908,789,108,740
  5. Step 5: Solve for x
    x = 2,425,908,789,108,740/33,675,486
  6. Step 6: Final answer
    x = 72,037,825.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.