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Finding the Third Proportional to 39,094,168 and 83,380,336

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Solution

The third proportional to 39,094,168 and 83,380,336 is: 177,834,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,094,168 : 83,380,336 = 83,380,336 : x
  2. Step 2: Convert to fraction form
    39,094,168/83,380,336 = 83,380,336/x
  3. Step 3: Cross multiply
    39,094,168x = 83,380,336 × 83,380,336
  4. Step 4: Simplify right side
    39,094,168x = 6,952,280,431,472,896
  5. Step 5: Solve for x
    x = 6,952,280,431,472,896/39,094,168
  6. Step 6: Final answer
    x = 177,834,208.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.