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Finding the Third Proportional to 6,702,162.75 and 14,467,025.25

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Solution

The third proportional to 6,702,162.75 and 14,467,025.25 is: 31,227,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702,162.75 : 14,467,025.25 = 14,467,025.25 : x
  2. Step 2: Convert to fraction form
    6,702,162.75/14,467,025.25 = 14,467,025.25/x
  3. Step 3: Cross multiply
    6,702,162.75x = 14,467,025.25 × 14,467,025.25
  4. Step 4: Simplify right side
    6,702,162.75x = 209,294,819,584,137.56
  5. Step 5: Solve for x
    x = 209,294,819,584,137.56/6,702,162.75
  6. Step 6: Final answer
    x = 31,227,952.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.