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Finding the Third Proportional to 1,180,795,398,753.90 and 1,763,455,449,723.20

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Solution

The third proportional to 1,180,795,398,753.90 and 1,763,455,449,723.20 is: 2,633,627,406,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,795,398,753.90 : 1,763,455,449,723.20 = 1,763,455,449,723.20 : x
  2. Step 2: Convert to fraction form
    1,180,795,398,753.90/1,763,455,449,723.20 = 1,763,455,449,723.20/x
  3. Step 3: Cross multiply
    1,180,795,398,753.90x = 1,763,455,449,723.20 × 1,763,455,449,723.20
  4. Step 4: Simplify right side
    1,180,795,398,753.90x = 3,109,775,123,158,453,285,027,840
  5. Step 5: Solve for x
    x = 3,109,775,123,158,453,285,027,840/1,180,795,398,753.90
  6. Step 6: Final answer
    x = 2,633,627,406,102.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.