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Finding the Third Proportional to 2,456,027,896 and 5,342,377,274

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Solution

The third proportional to 2,456,027,896 and 5,342,377,274 is: 11,620,794,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456,027,896 : 5,342,377,274 = 5,342,377,274 : x
  2. Step 2: Convert to fraction form
    2,456,027,896/5,342,377,274 = 5,342,377,274/x
  3. Step 3: Cross multiply
    2,456,027,896x = 5,342,377,274 × 5,342,377,274
  4. Step 4: Simplify right side
    2,456,027,896x = 28,540,994,937,751,670,784
  5. Step 5: Solve for x
    x = 28,540,994,937,751,670,784/2,456,027,896
  6. Step 6: Final answer
    x = 11,620,794,285.05

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