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Finding the Third Proportional to 1,375,798,887,967 and 2,993,146,995,672

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Solution

The third proportional to 1,375,798,887,967 and 2,993,146,995,672 is: 6,511,801,264,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,798,887,967 : 2,993,146,995,672 = 2,993,146,995,672 : x
  2. Step 2: Convert to fraction form
    1,375,798,887,967/2,993,146,995,672 = 2,993,146,995,672/x
  3. Step 3: Cross multiply
    1,375,798,887,967x = 2,993,146,995,672 × 2,993,146,995,672
  4. Step 4: Simplify right side
    1,375,798,887,967x = 8,958,928,937,700,320,056,705,024
  5. Step 5: Solve for x
    x = 8,958,928,937,700,320,056,705,024/1,375,798,887,967
  6. Step 6: Final answer
    x = 6,511,801,264,019.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.