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Finding the Third Proportional to 6,317,625 and 9,028,032

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Solution

The third proportional to 6,317,625 and 9,028,032 is: 12,901,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,625 : 9,028,032 = 9,028,032 : x
  2. Step 2: Convert to fraction form
    6,317,625/9,028,032 = 9,028,032/x
  3. Step 3: Cross multiply
    6,317,625x = 9,028,032 × 9,028,032
  4. Step 4: Simplify right side
    6,317,625x = 81,505,361,793,024
  5. Step 5: Solve for x
    x = 81,505,361,793,024/6,317,625
  6. Step 6: Final answer
    x = 12,901,266.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.