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Finding the Third Proportional to 34,297,749 and 75,504,231

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Solution

The third proportional to 34,297,749 and 75,504,231 is: 166,217,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297,749 : 75,504,231 = 75,504,231 : x
  2. Step 2: Convert to fraction form
    34,297,749/75,504,231 = 75,504,231/x
  3. Step 3: Cross multiply
    34,297,749x = 75,504,231 × 75,504,231
  4. Step 4: Simplify right side
    34,297,749x = 5,700,888,898,901,361
  5. Step 5: Solve for x
    x = 5,700,888,898,901,361/34,297,749
  6. Step 6: Final answer
    x = 166,217,581.77

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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.