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Finding the Third Proportional to 2,577,027 and 5,089,005

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Solution

The third proportional to 2,577,027 and 5,089,005 is: 10,049,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,027 : 5,089,005 = 5,089,005 : x
  2. Step 2: Convert to fraction form
    2,577,027/5,089,005 = 5,089,005/x
  3. Step 3: Cross multiply
    2,577,027x = 5,089,005 × 5,089,005
  4. Step 4: Simplify right side
    2,577,027x = 25,897,971,890,025
  5. Step 5: Solve for x
    x = 25,897,971,890,025/2,577,027
  6. Step 6: Final answer
    x = 10,049,553.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.