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Finding the Third Proportional to 11,167,661,808 and 24,196,473,738

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Solution

The third proportional to 11,167,661,808 and 24,196,473,738 is: 52,425,418,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167,661,808 : 24,196,473,738 = 24,196,473,738 : x
  2. Step 2: Convert to fraction form
    11,167,661,808/24,196,473,738 = 24,196,473,738/x
  3. Step 3: Cross multiply
    11,167,661,808x = 24,196,473,738 × 24,196,473,738
  4. Step 4: Simplify right side
    11,167,661,808x = 585,469,341,353,723,691,008
  5. Step 5: Solve for x
    x = 585,469,341,353,723,691,008/11,167,661,808
  6. Step 6: Final answer
    x = 52,425,418,267.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.