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Finding the Third Proportional to 11,048,304,192 and 23,672,508,096

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Solution

The third proportional to 11,048,304,192 and 23,672,508,096 is: 50,721,597,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048,304,192 : 23,672,508,096 = 23,672,508,096 : x
  2. Step 2: Convert to fraction form
    11,048,304,192/23,672,508,096 = 23,672,508,096/x
  3. Step 3: Cross multiply
    11,048,304,192x = 23,672,508,096 × 23,672,508,096
  4. Step 4: Simplify right side
    11,048,304,192x = 560,387,639,555,185,573,888
  5. Step 5: Solve for x
    x = 560,387,639,555,185,573,888/11,048,304,192
  6. Step 6: Final answer
    x = 50,721,597,615.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.