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Finding the Third Proportional to 2,534,025.50 and 5,464,141

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Solution

The third proportional to 2,534,025.50 and 5,464,141 is: 11,782,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,025.50 : 5,464,141 = 5,464,141 : x
  2. Step 2: Convert to fraction form
    2,534,025.50/5,464,141 = 5,464,141/x
  3. Step 3: Cross multiply
    2,534,025.50x = 5,464,141 × 5,464,141
  4. Step 4: Simplify right side
    2,534,025.50x = 29,856,836,867,881
  5. Step 5: Solve for x
    x = 29,856,836,867,881/2,534,025.50
  6. Step 6: Final answer
    x = 11,782,374.28

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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.