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Finding the Third Proportional to 8,137,128.38 and 17,406,773.44

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Solution

The third proportional to 8,137,128.38 and 17,406,773.44 is: 37,236,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,128.38 : 17,406,773.44 = 17,406,773.44 : x
  2. Step 2: Convert to fraction form
    8,137,128.38/17,406,773.44 = 17,406,773.44/x
  3. Step 3: Cross multiply
    8,137,128.38x = 17,406,773.44 × 17,406,773.44
  4. Step 4: Simplify right side
    8,137,128.38x = 302,995,761,504,455.56
  5. Step 5: Solve for x
    x = 302,995,761,504,455.56/8,137,128.38
  6. Step 6: Final answer
    x = 37,236,202.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.