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Finding the Third Proportional to 15,524,522,096 and 33,769,100,980

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Solution

The third proportional to 15,524,522,096 and 33,769,100,980 is: 73,454,897,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524,522,096 : 33,769,100,980 = 33,769,100,980 : x
  2. Step 2: Convert to fraction form
    15,524,522,096/33,769,100,980 = 33,769,100,980/x
  3. Step 3: Cross multiply
    15,524,522,096x = 33,769,100,980 × 33,769,100,980
  4. Step 4: Simplify right side
    15,524,522,096x = 1,140,352,180,997,436,997,632
  5. Step 5: Solve for x
    x = 1,140,352,180,997,436,997,632/15,524,522,096
  6. Step 6: Final answer
    x = 73,454,897,609.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.