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Finding the Third Proportional to 20,752,914,129,900 and 43,223,534,755,283

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Solution

The third proportional to 20,752,914,129,900 and 43,223,534,755,283 is: 90,024,656,057,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752,914,129,900 : 43,223,534,755,283 = 43,223,534,755,283 : x
  2. Step 2: Convert to fraction form
    20,752,914,129,900/43,223,534,755,283 = 43,223,534,755,283/x
  3. Step 3: Cross multiply
    20,752,914,129,900x = 43,223,534,755,283 × 43,223,534,755,283
  4. Step 4: Simplify right side
    20,752,914,129,900x = 1,868,273,956,741,157,310,682,890,240
  5. Step 5: Solve for x
    x = 1,868,273,956,741,157,310,682,890,240/20,752,914,129,900
  6. Step 6: Final answer
    x = 90,024,656,057,792.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.