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Finding the Third Proportional to 11,048,304,196 and 23,672,508,104

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Solution

The third proportional to 11,048,304,196 and 23,672,508,104 is: 50,721,597,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048,304,196 : 23,672,508,104 = 23,672,508,104 : x
  2. Step 2: Convert to fraction form
    11,048,304,196/23,672,508,104 = 23,672,508,104/x
  3. Step 3: Cross multiply
    11,048,304,196x = 23,672,508,104 × 23,672,508,104
  4. Step 4: Simplify right side
    11,048,304,196x = 560,387,639,933,945,643,008
  5. Step 5: Solve for x
    x = 560,387,639,933,945,643,008/11,048,304,196
  6. Step 6: Final answer
    x = 50,721,597,630.96

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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.