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Finding the Third Proportional to 11,241,976.50 and 23,367,123

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Solution

The third proportional to 11,241,976.50 and 23,367,123 is: 48,569,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241,976.50 : 23,367,123 = 23,367,123 : x
  2. Step 2: Convert to fraction form
    11,241,976.50/23,367,123 = 23,367,123/x
  3. Step 3: Cross multiply
    11,241,976.50x = 23,367,123 × 23,367,123
  4. Step 4: Simplify right side
    11,241,976.50x = 546,022,437,297,129
  5. Step 5: Solve for x
    x = 546,022,437,297,129/11,241,976.50
  6. Step 6: Final answer
    x = 48,569,967.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.