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Finding the Third Proportional to 275,761,395 and 427,568,908.50

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Solution

The third proportional to 275,761,395 and 427,568,908.50 is: 662,946,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,761,395 : 427,568,908.50 = 427,568,908.50 : x
  2. Step 2: Convert to fraction form
    275,761,395/427,568,908.50 = 427,568,908.50/x
  3. Step 3: Cross multiply
    275,761,395x = 427,568,908.50 × 427,568,908.50
  4. Step 4: Simplify right side
    275,761,395x = 182,815,171,515,881,376
  5. Step 5: Solve for x
    x = 182,815,171,515,881,376/275,761,395
  6. Step 6: Final answer
    x = 662,946,934.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.