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Finding the Third Proportional to 741,701,357 and 1,544,441,638

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Solution

The third proportional to 741,701,357 and 1,544,441,638 is: 3,215,984,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,701,357 : 1,544,441,638 = 1,544,441,638 : x
  2. Step 2: Convert to fraction form
    741,701,357/1,544,441,638 = 1,544,441,638/x
  3. Step 3: Cross multiply
    741,701,357x = 1,544,441,638 × 1,544,441,638
  4. Step 4: Simplify right side
    741,701,357x = 2,385,299,973,188,123,136
  5. Step 5: Solve for x
    x = 2,385,299,973,188,123,136/741,701,357
  6. Step 6: Final answer
    x = 3,215,984,372.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.