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Finding the Third Proportional to 38,293,965 and 57,305,616.75

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Solution

The third proportional to 38,293,965 and 57,305,616.75 is: 85,755,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293,965 : 57,305,616.75 = 57,305,616.75 : x
  2. Step 2: Convert to fraction form
    38,293,965/57,305,616.75 = 57,305,616.75/x
  3. Step 3: Cross multiply
    38,293,965x = 57,305,616.75 × 57,305,616.75
  4. Step 4: Simplify right side
    38,293,965x = 3,283,933,711,097,880.50
  5. Step 5: Solve for x
    x = 3,283,933,711,097,880.50/38,293,965
  6. Step 6: Final answer
    x = 85,755,907.26

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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.