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Finding the Third Proportional to 27,422,701,191 and 38,617,206,135

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Solution

The third proportional to 27,422,701,191 and 38,617,206,135 is: 54,381,535,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422,701,191 : 38,617,206,135 = 38,617,206,135 : x
  2. Step 2: Convert to fraction form
    27,422,701,191/38,617,206,135 = 38,617,206,135/x
  3. Step 3: Cross multiply
    27,422,701,191x = 38,617,206,135 × 38,617,206,135
  4. Step 4: Simplify right side
    27,422,701,191x = 1,491,288,609,673,081,520,128
  5. Step 5: Solve for x
    x = 1,491,288,609,673,081,520,128/27,422,701,191
  6. Step 6: Final answer
    x = 54,381,535,913.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.