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Finding the Third Proportional to 5,620,175,599,760 and 7,582,936,504,168

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Solution

The third proportional to 5,620,175,599,760 and 7,582,936,504,168 is: 10,231,161,821,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620,175,599,760 : 7,582,936,504,168 = 7,582,936,504,168 : x
  2. Step 2: Convert to fraction form
    5,620,175,599,760/7,582,936,504,168 = 7,582,936,504,168/x
  3. Step 3: Cross multiply
    5,620,175,599,760x = 7,582,936,504,168 × 7,582,936,504,168
  4. Step 4: Simplify right side
    5,620,175,599,760x = 57,500,926,026,243,611,058,765,824
  5. Step 5: Solve for x
    x = 57,500,926,026,243,611,058,765,824/5,620,175,599,760
  6. Step 6: Final answer
    x = 10,231,161,821,473.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.