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Finding the Third Proportional to 1,540,143,876 and 3,362,515,656

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Solution

The third proportional to 1,540,143,876 and 3,362,515,656 is: 7,341,204,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,143,876 : 3,362,515,656 = 3,362,515,656 : x
  2. Step 2: Convert to fraction form
    1,540,143,876/3,362,515,656 = 3,362,515,656/x
  3. Step 3: Cross multiply
    1,540,143,876x = 3,362,515,656 × 3,362,515,656
  4. Step 4: Simplify right side
    1,540,143,876x = 11,306,511,536,845,111,296
  5. Step 5: Solve for x
    x = 11,306,511,536,845,111,296/1,540,143,876
  6. Step 6: Final answer
    x = 7,341,204,749.14

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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.