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Finding the Third Proportional to 75,578,040,069 and 162,372,065,034

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Solution

The third proportional to 75,578,040,069 and 162,372,065,034 is: 348,840,582,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,040,069 : 162,372,065,034 = 162,372,065,034 : x
  2. Step 2: Convert to fraction form
    75,578,040,069/162,372,065,034 = 162,372,065,034/x
  3. Step 3: Cross multiply
    75,578,040,069x = 162,372,065,034 × 162,372,065,034
  4. Step 4: Simplify right side
    75,578,040,069x = 26,364,687,503,405,527,072,768
  5. Step 5: Solve for x
    x = 26,364,687,503,405,527,072,768/75,578,040,069
  6. Step 6: Final answer
    x = 348,840,582,255.58

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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.