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Finding the Third Proportional to 6,588,024 and 14,275,728

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Solution

The third proportional to 6,588,024 and 14,275,728 is: 30,934,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588,024 : 14,275,728 = 14,275,728 : x
  2. Step 2: Convert to fraction form
    6,588,024/14,275,728 = 14,275,728/x
  3. Step 3: Cross multiply
    6,588,024x = 14,275,728 × 14,275,728
  4. Step 4: Simplify right side
    6,588,024x = 203,796,409,929,984
  5. Step 5: Solve for x
    x = 203,796,409,929,984/6,588,024
  6. Step 6: Final answer
    x = 30,934,375.76

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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.