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Finding the Third Proportional to 9,664,857,858 and 20,806,806,918

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Solution

The third proportional to 9,664,857,858 and 20,806,806,918 is: 44,793,541,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664,857,858 : 20,806,806,918 = 20,806,806,918 : x
  2. Step 2: Convert to fraction form
    9,664,857,858/20,806,806,918 = 20,806,806,918/x
  3. Step 3: Cross multiply
    9,664,857,858x = 20,806,806,918 × 20,806,806,918
  4. Step 4: Simplify right side
    9,664,857,858x = 432,923,214,122,932,633,600
  5. Step 5: Solve for x
    x = 432,923,214,122,932,633,600/9,664,857,858
  6. Step 6: Final answer
    x = 44,793,541,765.81

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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.