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Finding the Third Proportional to 4,099,499.25 and 9,490,542.38

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Solution

The third proportional to 4,099,499.25 and 9,490,542.38 is: 21,971,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,499.25 : 9,490,542.38 = 9,490,542.38 : x
  2. Step 2: Convert to fraction form
    4,099,499.25/9,490,542.38 = 9,490,542.38/x
  3. Step 3: Cross multiply
    4,099,499.25x = 9,490,542.38 × 9,490,542.38
  4. Step 4: Simplify right side
    4,099,499.25x = 90,070,394,571,670.64
  5. Step 5: Solve for x
    x = 90,070,394,571,670.64/4,099,499.25
  6. Step 6: Final answer
    x = 21,971,072.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.