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Finding the Third Proportional to 33,675,463 and 49,253,482.50

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Solution

The third proportional to 33,675,463 and 49,253,482.50 is: 72,037,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,463 : 49,253,482.50 = 49,253,482.50 : x
  2. Step 2: Convert to fraction form
    33,675,463/49,253,482.50 = 49,253,482.50/x
  3. Step 3: Cross multiply
    33,675,463x = 49,253,482.50 × 49,253,482.50
  4. Step 4: Simplify right side
    33,675,463x = 2,425,905,538,377,806
  5. Step 5: Solve for x
    x = 2,425,905,538,377,806/33,675,463
  6. Step 6: Final answer
    x = 72,037,778.32

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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.