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Finding the Third Proportional to 2,980,324.50 and 6,635,148

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Solution

The third proportional to 2,980,324.50 and 6,635,148 is: 14,771,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,324.50 : 6,635,148 = 6,635,148 : x
  2. Step 2: Convert to fraction form
    2,980,324.50/6,635,148 = 6,635,148/x
  3. Step 3: Cross multiply
    2,980,324.50x = 6,635,148 × 6,635,148
  4. Step 4: Simplify right side
    2,980,324.50x = 44,025,188,981,904
  5. Step 5: Solve for x
    x = 44,025,188,981,904/2,980,324.50
  6. Step 6: Final answer
    x = 14,771,944.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.