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Finding the Third Proportional to 22,343,235.75 and 34,164,162

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Solution

The third proportional to 22,343,235.75 and 34,164,162 is: 52,239,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343,235.75 : 34,164,162 = 34,164,162 : x
  2. Step 2: Convert to fraction form
    22,343,235.75/34,164,162 = 34,164,162/x
  3. Step 3: Cross multiply
    22,343,235.75x = 34,164,162 × 34,164,162
  4. Step 4: Simplify right side
    22,343,235.75x = 1,167,189,965,162,244
  5. Step 5: Solve for x
    x = 1,167,189,965,162,244/22,343,235.75
  6. Step 6: Final answer
    x = 52,239,074.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.