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Finding the Third Proportional to 27,422,701,179 and 38,617,206,117

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Solution

The third proportional to 27,422,701,179 and 38,617,206,117 is: 54,381,535,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422,701,179 : 38,617,206,117 = 38,617,206,117 : x
  2. Step 2: Convert to fraction form
    27,422,701,179/38,617,206,117 = 38,617,206,117/x
  3. Step 3: Cross multiply
    27,422,701,179x = 38,617,206,117 × 38,617,206,117
  4. Step 4: Simplify right side
    27,422,701,179x = 1,491,288,608,282,862,157,824
  5. Step 5: Solve for x
    x = 1,491,288,608,282,862,157,824/27,422,701,179
  6. Step 6: Final answer
    x = 54,381,535,886.95

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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.