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Finding the Third Proportional to 3,228,639,756 and 5,012,946,801

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Solution

The third proportional to 3,228,639,756 and 5,012,946,801 is: 7,783,350,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228,639,756 : 5,012,946,801 = 5,012,946,801 : x
  2. Step 2: Convert to fraction form
    3,228,639,756/5,012,946,801 = 5,012,946,801/x
  3. Step 3: Cross multiply
    3,228,639,756x = 5,012,946,801 × 5,012,946,801
  4. Step 4: Simplify right side
    3,228,639,756x = 25,129,635,629,656,133,632
  5. Step 5: Solve for x
    x = 25,129,635,629,656,133,632/3,228,639,756
  6. Step 6: Final answer
    x = 7,783,350,738.64

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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.