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Finding the Third Proportional to 2,527,350 and 5,453,256

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Solution

The third proportional to 2,527,350 and 5,453,256 is: 11,766,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,350 : 5,453,256 = 5,453,256 : x
  2. Step 2: Convert to fraction form
    2,527,350/5,453,256 = 5,453,256/x
  3. Step 3: Cross multiply
    2,527,350x = 5,453,256 × 5,453,256
  4. Step 4: Simplify right side
    2,527,350x = 29,738,001,001,536
  5. Step 5: Solve for x
    x = 29,738,001,001,536/2,527,350
  6. Step 6: Final answer
    x = 11,766,475.16

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Why These Related Problems?

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