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Finding the Third Proportional to 6,147,728 and 13,358,608

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Solution

The third proportional to 6,147,728 and 13,358,608 is: 29,027,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,728 : 13,358,608 = 13,358,608 : x
  2. Step 2: Convert to fraction form
    6,147,728/13,358,608 = 13,358,608/x
  3. Step 3: Cross multiply
    6,147,728x = 13,358,608 × 13,358,608
  4. Step 4: Simplify right side
    6,147,728x = 178,452,407,697,664
  5. Step 5: Solve for x
    x = 178,452,407,697,664/6,147,728
  6. Step 6: Final answer
    x = 29,027,375.27

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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.