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Finding the Third Proportional to 12,453,615 and 27,024,096

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Solution

The third proportional to 12,453,615 and 27,024,096 is: 58,641,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453,615 : 27,024,096 = 27,024,096 : x
  2. Step 2: Convert to fraction form
    12,453,615/27,024,096 = 27,024,096/x
  3. Step 3: Cross multiply
    12,453,615x = 27,024,096 × 27,024,096
  4. Step 4: Simplify right side
    12,453,615x = 730,301,764,617,216
  5. Step 5: Solve for x
    x = 730,301,764,617,216/12,453,615
  6. Step 6: Final answer
    x = 58,641,748.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.