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Finding the Third Proportional to 34,297,763.50 and 75,504,260

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Solution

The third proportional to 34,297,763.50 and 75,504,260 is: 166,217,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297,763.50 : 75,504,260 = 75,504,260 : x
  2. Step 2: Convert to fraction form
    34,297,763.50/75,504,260 = 75,504,260/x
  3. Step 3: Cross multiply
    34,297,763.50x = 75,504,260 × 75,504,260
  4. Step 4: Simplify right side
    34,297,763.50x = 5,700,893,278,147,600
  5. Step 5: Solve for x
    x = 5,700,893,278,147,600/34,297,763.50
  6. Step 6: Final answer
    x = 166,217,639.18

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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.