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Finding the Third Proportional to 1,540,143,876 and 3,362,515,647

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Solution

The third proportional to 1,540,143,876 and 3,362,515,647 is: 7,341,204,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,143,876 : 3,362,515,647 = 3,362,515,647 : x
  2. Step 2: Convert to fraction form
    1,540,143,876/3,362,515,647 = 3,362,515,647/x
  3. Step 3: Cross multiply
    1,540,143,876x = 3,362,515,647 × 3,362,515,647
  4. Step 4: Simplify right side
    1,540,143,876x = 11,306,511,476,319,827,968
  5. Step 5: Solve for x
    x = 11,306,511,476,319,827,968/1,540,143,876
  6. Step 6: Final answer
    x = 7,341,204,709.84

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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.