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Finding the Third Proportional to 75,561,448,191 and 165,357,082,110

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Solution

The third proportional to 75,561,448,191 and 165,357,082,110 is: 361,863,956,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,561,448,191 : 165,357,082,110 = 165,357,082,110 : x
  2. Step 2: Convert to fraction form
    75,561,448,191/165,357,082,110 = 165,357,082,110/x
  3. Step 3: Cross multiply
    75,561,448,191x = 165,357,082,110 × 165,357,082,110
  4. Step 4: Simplify right side
    75,561,448,191x = 27,342,964,603,933,283,057,664
  5. Step 5: Solve for x
    x = 27,342,964,603,933,283,057,664/75,561,448,191
  6. Step 6: Final answer
    x = 361,863,956,535.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.