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Finding the Third Proportional to 8,207,725,071 and 16,643,839,737

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Solution

The third proportional to 8,207,725,071 and 16,643,839,737 is: 33,750,813,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207,725,071 : 16,643,839,737 = 16,643,839,737 : x
  2. Step 2: Convert to fraction form
    8,207,725,071/16,643,839,737 = 16,643,839,737/x
  3. Step 3: Cross multiply
    8,207,725,071x = 16,643,839,737 × 16,643,839,737
  4. Step 4: Simplify right side
    8,207,725,071x = 277,017,401,190,940,213,248
  5. Step 5: Solve for x
    x = 277,017,401,190,940,213,248/8,207,725,071
  6. Step 6: Final answer
    x = 33,750,813,872.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.