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Finding the Third Proportional to 11,098,625.50 and 24,214,142

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Solution

The third proportional to 11,098,625.50 and 24,214,142 is: 52,828,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,625.50 : 24,214,142 = 24,214,142 : x
  2. Step 2: Convert to fraction form
    11,098,625.50/24,214,142 = 24,214,142/x
  3. Step 3: Cross multiply
    11,098,625.50x = 24,214,142 × 24,214,142
  4. Step 4: Simplify right side
    11,098,625.50x = 586,324,672,796,164
  5. Step 5: Solve for x
    x = 586,324,672,796,164/11,098,625.50
  6. Step 6: Final answer
    x = 52,828,584.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.