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Finding the Third Proportional to 8,195,322,564 and 17,633,616,696

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Solution

The third proportional to 8,195,322,564 and 17,633,616,696 is: 37,941,696,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,322,564 : 17,633,616,696 = 17,633,616,696 : x
  2. Step 2: Convert to fraction form
    8,195,322,564/17,633,616,696 = 17,633,616,696/x
  3. Step 3: Cross multiply
    8,195,322,564x = 17,633,616,696 × 17,633,616,696
  4. Step 4: Simplify right side
    8,195,322,564x = 310,944,437,781,449,932,800
  5. Step 5: Solve for x
    x = 310,944,437,781,449,932,800/8,195,322,564
  6. Step 6: Final answer
    x = 37,941,696,053.23

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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.