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Finding the Third Proportional to 4,968,906,986 and 10,635,816,892

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Solution

The third proportional to 4,968,906,986 and 10,635,816,892 is: 22,765,690,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968,906,986 : 10,635,816,892 = 10,635,816,892 : x
  2. Step 2: Convert to fraction form
    4,968,906,986/10,635,816,892 = 10,635,816,892/x
  3. Step 3: Cross multiply
    4,968,906,986x = 10,635,816,892 × 10,635,816,892
  4. Step 4: Simplify right side
    4,968,906,986x = 113,120,600,960,152,535,040
  5. Step 5: Solve for x
    x = 113,120,600,960,152,535,040/4,968,906,986
  6. Step 6: Final answer
    x = 22,765,690,981.71

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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.