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Finding the Third Proportional to 15,524,522,092 and 33,769,100,972

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Solution

The third proportional to 15,524,522,092 and 33,769,100,972 is: 73,454,897,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524,522,092 : 33,769,100,972 = 33,769,100,972 : x
  2. Step 2: Convert to fraction form
    15,524,522,092/33,769,100,972 = 33,769,100,972/x
  3. Step 3: Cross multiply
    15,524,522,092x = 33,769,100,972 × 33,769,100,972
  4. Step 4: Simplify right side
    15,524,522,092x = 1,140,352,180,457,131,343,872
  5. Step 5: Solve for x
    x = 1,140,352,180,457,131,343,872/15,524,522,092
  6. Step 6: Final answer
    x = 73,454,897,593.58

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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.