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Finding the Third Proportional to 20,752,914,129,896 and 43,223,534,755,276

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Solution

The third proportional to 20,752,914,129,896 and 43,223,534,755,276 is: 90,024,656,057,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752,914,129,896 : 43,223,534,755,276 = 43,223,534,755,276 : x
  2. Step 2: Convert to fraction form
    20,752,914,129,896/43,223,534,755,276 = 43,223,534,755,276/x
  3. Step 3: Cross multiply
    20,752,914,129,896x = 43,223,534,755,276 × 43,223,534,755,276
  4. Step 4: Simplify right side
    20,752,914,129,896x = 1,868,273,956,740,552,304,409,706,496
  5. Step 5: Solve for x
    x = 1,868,273,956,740,552,304,409,706,496/20,752,914,129,896
  6. Step 6: Final answer
    x = 90,024,656,057,781.06

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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.