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Finding the Third Proportional to 39,933,668 and 57,066,136

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Solution

The third proportional to 39,933,668 and 57,066,136 is: 81,548,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,933,668 : 57,066,136 = 57,066,136 : x
  2. Step 2: Convert to fraction form
    39,933,668/57,066,136 = 57,066,136/x
  3. Step 3: Cross multiply
    39,933,668x = 57,066,136 × 57,066,136
  4. Step 4: Simplify right side
    39,933,668x = 3,256,543,877,970,496
  5. Step 5: Solve for x
    x = 3,256,543,877,970,496/39,933,668
  6. Step 6: Final answer
    x = 81,548,829.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.