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Finding the Third Proportional to 2,456,027,892 and 5,342,377,264.88

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Solution

The third proportional to 2,456,027,892 and 5,342,377,264.88 is: 11,620,794,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,027,892 : 5,342,377,264.88 = 5,342,377,264.88 : x
  2. Step 2: Convert to fraction form
    2,456,027,892/5,342,377,264.88 = 5,342,377,264.88/x
  3. Step 3: Cross multiply
    2,456,027,892x = 5,342,377,264.88 × 5,342,377,264.88
  4. Step 4: Simplify right side
    2,456,027,892x = 28,540,994,840,253,284,352
  5. Step 5: Solve for x
    x = 28,540,994,840,253,284,352/2,456,027,892
  6. Step 6: Final answer
    x = 11,620,794,264.28

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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.