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Finding the Third Proportional to 11,048,304,222 and 23,672,508,150

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Solution

The third proportional to 11,048,304,222 and 23,672,508,150 is: 50,721,597,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048,304,222 : 23,672,508,150 = 23,672,508,150 : x
  2. Step 2: Convert to fraction form
    11,048,304,222/23,672,508,150 = 23,672,508,150/x
  3. Step 3: Cross multiply
    11,048,304,222x = 23,672,508,150 × 23,672,508,150
  4. Step 4: Simplify right side
    11,048,304,222x = 560,387,642,111,816,433,664
  5. Step 5: Solve for x
    x = 560,387,642,111,816,433,664/11,048,304,222
  6. Step 6: Final answer
    x = 50,721,597,708.72

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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.