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Finding the Third Proportional to 8,441,136 and 17,180,588

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Solution

The third proportional to 8,441,136 and 17,180,588 is: 34,968,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441,136 : 17,180,588 = 17,180,588 : x
  2. Step 2: Convert to fraction form
    8,441,136/17,180,588 = 17,180,588/x
  3. Step 3: Cross multiply
    8,441,136x = 17,180,588 × 17,180,588
  4. Step 4: Simplify right side
    8,441,136x = 295,172,604,025,744
  5. Step 5: Solve for x
    x = 295,172,604,025,744/8,441,136
  6. Step 6: Final answer
    x = 34,968,350.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.