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Finding the Third Proportional to 2,582,056.50 and 5,673,678

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Solution

The third proportional to 2,582,056.50 and 5,673,678 is: 12,467,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,056.50 : 5,673,678 = 5,673,678 : x
  2. Step 2: Convert to fraction form
    2,582,056.50/5,673,678 = 5,673,678/x
  3. Step 3: Cross multiply
    2,582,056.50x = 5,673,678 × 5,673,678
  4. Step 4: Simplify right side
    2,582,056.50x = 32,190,622,047,684
  5. Step 5: Solve for x
    x = 32,190,622,047,684/2,582,056.50
  6. Step 6: Final answer
    x = 12,467,047.89

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Why These Related Problems?

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