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Finding the Third Proportional to 33,364,928 and 73,107,136

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Solution

The third proportional to 33,364,928 and 73,107,136 is: 160,187,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,364,928 : 73,107,136 = 73,107,136 : x
  2. Step 2: Convert to fraction form
    33,364,928/73,107,136 = 73,107,136/x
  3. Step 3: Cross multiply
    33,364,928x = 73,107,136 × 73,107,136
  4. Step 4: Simplify right side
    33,364,928x = 5,344,653,334,122,496
  5. Step 5: Solve for x
    x = 5,344,653,334,122,496/33,364,928
  6. Step 6: Final answer
    x = 160,187,767.65

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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.