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Finding the Third Proportional to 3,557,372,211 and 7,727,133,231

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Solution

The third proportional to 3,557,372,211 and 7,727,133,231 is: 16,784,464,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557,372,211 : 7,727,133,231 = 7,727,133,231 : x
  2. Step 2: Convert to fraction form
    3,557,372,211/7,727,133,231 = 7,727,133,231/x
  3. Step 3: Cross multiply
    3,557,372,211x = 7,727,133,231 × 7,727,133,231
  4. Step 4: Simplify right side
    3,557,372,211x = 59,708,587,969,624,498,176
  5. Step 5: Solve for x
    x = 59,708,587,969,624,498,176/3,557,372,211
  6. Step 6: Final answer
    x = 16,784,464,607.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.