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Finding the Third Proportional to 38,301,136 and 57,315,999

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Solution

The third proportional to 38,301,136 and 57,315,999 is: 85,770,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301,136 : 57,315,999 = 57,315,999 : x
  2. Step 2: Convert to fraction form
    38,301,136/57,315,999 = 57,315,999/x
  3. Step 3: Cross multiply
    38,301,136x = 57,315,999 × 57,315,999
  4. Step 4: Simplify right side
    38,301,136x = 3,285,123,741,368,001
  5. Step 5: Solve for x
    x = 3,285,123,741,368,001/38,301,136
  6. Step 6: Final answer
    x = 85,770,921.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.