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Finding the Third Proportional to 75,578,040,067 and 162,372,065,030

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Solution

The third proportional to 75,578,040,067 and 162,372,065,030 is: 348,840,582,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,040,067 : 162,372,065,030 = 162,372,065,030 : x
  2. Step 2: Convert to fraction form
    75,578,040,067/162,372,065,030 = 162,372,065,030/x
  3. Step 3: Cross multiply
    75,578,040,067x = 162,372,065,030 × 162,372,065,030
  4. Step 4: Simplify right side
    75,578,040,067x = 26,364,687,502,106,546,929,664
  5. Step 5: Solve for x
    x = 26,364,687,502,106,546,929,664/75,578,040,067
  6. Step 6: Final answer
    x = 348,840,582,247.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.