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Finding the Third Proportional to 6,496,144 and 14,288,288

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Solution

The third proportional to 6,496,144 and 14,288,288 is: 31,427,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,144 : 14,288,288 = 14,288,288 : x
  2. Step 2: Convert to fraction form
    6,496,144/14,288,288 = 14,288,288/x
  3. Step 3: Cross multiply
    6,496,144x = 14,288,288 × 14,288,288
  4. Step 4: Simplify right side
    6,496,144x = 204,155,173,970,944
  5. Step 5: Solve for x
    x = 204,155,173,970,944/6,496,144
  6. Step 6: Final answer
    x = 31,427,131.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.