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Finding the Third Proportional to 27,217,800,531 and 42,696,659,205

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Solution

The third proportional to 27,217,800,531 and 42,696,659,205 is: 66,978,399,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217,800,531 : 42,696,659,205 = 42,696,659,205 : x
  2. Step 2: Convert to fraction form
    27,217,800,531/42,696,659,205 = 42,696,659,205/x
  3. Step 3: Cross multiply
    27,217,800,531x = 42,696,659,205 × 42,696,659,205
  4. Step 4: Simplify right side
    27,217,800,531x = 1,823,004,707,267,911,352,320
  5. Step 5: Solve for x
    x = 1,823,004,707,267,911,352,320/27,217,800,531
  6. Step 6: Final answer
    x = 66,978,399,124.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.