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Finding the Third Proportional to 2,732,894,305,284 and 5,691,988,611,384

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Solution

The third proportional to 2,732,894,305,284 and 5,691,988,611,384 is: 11,855,099,661,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732,894,305,284 : 5,691,988,611,384 = 5,691,988,611,384 : x
  2. Step 2: Convert to fraction form
    2,732,894,305,284/5,691,988,611,384 = 5,691,988,611,384/x
  3. Step 3: Cross multiply
    2,732,894,305,284x = 5,691,988,611,384 × 5,691,988,611,384
  4. Step 4: Simplify right side
    2,732,894,305,284x = 32,398,734,352,125,156,447,485,952
  5. Step 5: Solve for x
    x = 32,398,734,352,125,156,447,485,952/2,732,894,305,284
  6. Step 6: Final answer
    x = 11,855,099,661,001.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.