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Finding the Third Proportional to 1,375,798,887,969 and 2,993,146,995,676.50

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Solution

The third proportional to 1,375,798,887,969 and 2,993,146,995,676.50 is: 6,511,801,264,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,798,887,969 : 2,993,146,995,676.50 = 2,993,146,995,676.50 : x
  2. Step 2: Convert to fraction form
    1,375,798,887,969/2,993,146,995,676.50 = 2,993,146,995,676.50/x
  3. Step 3: Cross multiply
    1,375,798,887,969x = 2,993,146,995,676.50 × 2,993,146,995,676.50
  4. Step 4: Simplify right side
    1,375,798,887,969x = 8,958,928,937,727,258,091,585,536
  5. Step 5: Solve for x
    x = 8,958,928,937,727,258,091,585,536/1,375,798,887,969
  6. Step 6: Final answer
    x = 6,511,801,264,029.75

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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.