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Finding the Third Proportional to 6,384,825,942 and 14,917,834,347

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Solution

The third proportional to 6,384,825,942 and 14,917,834,347 is: 34,854,792,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,825,942 : 14,917,834,347 = 14,917,834,347 : x
  2. Step 2: Convert to fraction form
    6,384,825,942/14,917,834,347 = 14,917,834,347/x
  3. Step 3: Cross multiply
    6,384,825,942x = 14,917,834,347 × 14,917,834,347
  4. Step 4: Simplify right side
    6,384,825,942x = 222,541,781,604,532,912,128
  5. Step 5: Solve for x
    x = 222,541,781,604,532,912,128/6,384,825,942
  6. Step 6: Final answer
    x = 34,854,792,225.52

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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.