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Finding the Third Proportional to 9,581,642,823 and 20,850,494,175

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Solution

The third proportional to 9,581,642,823 and 20,850,494,175 is: 45,372,501,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581,642,823 : 20,850,494,175 = 20,850,494,175 : x
  2. Step 2: Convert to fraction form
    9,581,642,823/20,850,494,175 = 20,850,494,175/x
  3. Step 3: Cross multiply
    9,581,642,823x = 20,850,494,175 × 20,850,494,175
  4. Step 4: Simplify right side
    9,581,642,823x = 434,743,107,341,708,951,552
  5. Step 5: Solve for x
    x = 434,743,107,341,708,951,552/9,581,642,823
  6. Step 6: Final answer
    x = 45,372,501,915.66

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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.