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Finding the Third Proportional to 2,582,025 and 5,673,619.50

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Solution

The third proportional to 2,582,025 and 5,673,619.50 is: 12,466,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,025 : 5,673,619.50 = 5,673,619.50 : x
  2. Step 2: Convert to fraction form
    2,582,025/5,673,619.50 = 5,673,619.50/x
  3. Step 3: Cross multiply
    2,582,025x = 5,673,619.50 × 5,673,619.50
  4. Step 4: Simplify right side
    2,582,025x = 32,189,958,230,780.25
  5. Step 5: Solve for x
    x = 32,189,958,230,780.25/2,582,025
  6. Step 6: Final answer
    x = 12,466,942.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.