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Finding the Third Proportional to 2,732,894,305,288 and 5,691,988,611,392

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Solution

The third proportional to 2,732,894,305,288 and 5,691,988,611,392 is: 11,855,099,661,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732,894,305,288 : 5,691,988,611,392 = 5,691,988,611,392 : x
  2. Step 2: Convert to fraction form
    2,732,894,305,288/5,691,988,611,392 = 5,691,988,611,392/x
  3. Step 3: Cross multiply
    2,732,894,305,288x = 5,691,988,611,392 × 5,691,988,611,392
  4. Step 4: Simplify right side
    2,732,894,305,288x = 32,398,734,352,216,226,934,030,336
  5. Step 5: Solve for x
    x = 32,398,734,352,216,226,934,030,336/2,732,894,305,288
  6. Step 6: Final answer
    x = 11,855,099,661,017.43

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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.