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Finding the Third Proportional to 40,967,524,250,078 and 88,464,561,365,815

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Solution

The third proportional to 40,967,524,250,078 and 88,464,561,365,815 is: 191,028,839,572,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,967,524,250,078 : 88,464,561,365,815 = 88,464,561,365,815 : x
  2. Step 2: Convert to fraction form
    40,967,524,250,078/88,464,561,365,815 = 88,464,561,365,815/x
  3. Step 3: Cross multiply
    40,967,524,250,078x = 88,464,561,365,815 × 88,464,561,365,815
  4. Step 4: Simplify right side
    40,967,524,250,078x = 7,825,978,617,646,048,426,072,211,456
  5. Step 5: Solve for x
    x = 7,825,978,617,646,048,426,072,211,456/40,967,524,250,078
  6. Step 6: Final answer
    x = 191,028,839,572,387.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.