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Finding the Third Proportional to 2,859,589,256 and 6,170,839,696

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Solution

The third proportional to 2,859,589,256 and 6,170,839,696 is: 13,316,339,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859,589,256 : 6,170,839,696 = 6,170,839,696 : x
  2. Step 2: Convert to fraction form
    2,859,589,256/6,170,839,696 = 6,170,839,696/x
  3. Step 3: Cross multiply
    2,859,589,256x = 6,170,839,696 × 6,170,839,696
  4. Step 4: Simplify right side
    2,859,589,256x = 38,079,262,553,729,376,256
  5. Step 5: Solve for x
    x = 38,079,262,553,729,376,256/2,859,589,256
  6. Step 6: Final answer
    x = 13,316,339,916.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.