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Finding the Third Proportional to 30,324,040,716 and 64,854,465,744

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Solution

The third proportional to 30,324,040,716 and 64,854,465,744 is: 138,705,186,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324,040,716 : 64,854,465,744 = 64,854,465,744 : x
  2. Step 2: Convert to fraction form
    30,324,040,716/64,854,465,744 = 64,854,465,744/x
  3. Step 3: Cross multiply
    30,324,040,716x = 64,854,465,744 × 64,854,465,744
  4. Step 4: Simplify right side
    30,324,040,716x = 4,206,101,726,939,669,594,112
  5. Step 5: Solve for x
    x = 4,206,101,726,939,669,594,112/30,324,040,716
  6. Step 6: Final answer
    x = 138,705,186,631.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.