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Finding the Third Proportional to 6,384,826,128 and 14,917,834,800

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Solution

The third proportional to 6,384,826,128 and 14,917,834,800 is: 34,854,793,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,826,128 : 14,917,834,800 = 14,917,834,800 : x
  2. Step 2: Convert to fraction form
    6,384,826,128/14,917,834,800 = 14,917,834,800/x
  3. Step 3: Cross multiply
    6,384,826,128x = 14,917,834,800 × 14,917,834,800
  4. Step 4: Simplify right side
    6,384,826,128x = 222,541,795,120,091,037,696
  5. Step 5: Solve for x
    x = 222,541,795,120,091,037,696/6,384,826,128
  6. Step 6: Final answer
    x = 34,854,793,326.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.