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Finding the Third Proportional to 9,664,857,860 and 20,806,806,922

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Solution

The third proportional to 9,664,857,860 and 20,806,806,922 is: 44,793,541,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664,857,860 : 20,806,806,922 = 20,806,806,922 : x
  2. Step 2: Convert to fraction form
    9,664,857,860/20,806,806,922 = 20,806,806,922/x
  3. Step 3: Cross multiply
    9,664,857,860x = 20,806,806,922 × 20,806,806,922
  4. Step 4: Simplify right side
    9,664,857,860x = 432,923,214,289,387,126,784
  5. Step 5: Solve for x
    x = 432,923,214,289,387,126,784/9,664,857,860
  6. Step 6: Final answer
    x = 44,793,541,773.76

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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.