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Finding the Third Proportional to 38,007,999 and 82,985,400

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Solution

The third proportional to 38,007,999 and 82,985,400 is: 181,187,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007,999 : 82,985,400 = 82,985,400 : x
  2. Step 2: Convert to fraction form
    38,007,999/82,985,400 = 82,985,400/x
  3. Step 3: Cross multiply
    38,007,999x = 82,985,400 × 82,985,400
  4. Step 4: Simplify right side
    38,007,999x = 6,886,576,613,160,000
  5. Step 5: Solve for x
    x = 6,886,576,613,160,000/38,007,999
  6. Step 6: Final answer
    x = 181,187,560.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.