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Finding the Third Proportional to 6,283,979 and 9,608,592

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Solution

The third proportional to 6,283,979 and 9,608,592 is: 14,692,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,979 : 9,608,592 = 9,608,592 : x
  2. Step 2: Convert to fraction form
    6,283,979/9,608,592 = 9,608,592/x
  3. Step 3: Cross multiply
    6,283,979x = 9,608,592 × 9,608,592
  4. Step 4: Simplify right side
    6,283,979x = 92,325,040,222,464
  5. Step 5: Solve for x
    x = 92,325,040,222,464/6,283,979
  6. Step 6: Final answer
    x = 14,692,130.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.