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Finding the Third Proportional to 6,384,825,952 and 14,917,834,370

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Solution

The third proportional to 6,384,825,952 and 14,917,834,370 is: 34,854,792,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,825,952 : 14,917,834,370 = 14,917,834,370 : x
  2. Step 2: Convert to fraction form
    6,384,825,952/14,917,834,370 = 14,917,834,370/x
  3. Step 3: Cross multiply
    6,384,825,952x = 14,917,834,370 × 14,917,834,370
  4. Step 4: Simplify right side
    6,384,825,952x = 222,541,782,290,753,290,240
  5. Step 5: Solve for x
    x = 222,541,782,290,753,290,240/6,384,825,952
  6. Step 6: Final answer
    x = 34,854,792,278.41

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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.