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Finding the Third Proportional to 2,305,992,951,846 and 4,959,029,913,813

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Solution

The third proportional to 2,305,992,951,846 and 4,959,029,913,813 is: 10,664,376,778,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,992,951,846 : 4,959,029,913,813 = 4,959,029,913,813 : x
  2. Step 2: Convert to fraction form
    2,305,992,951,846/4,959,029,913,813 = 4,959,029,913,813/x
  3. Step 3: Cross multiply
    2,305,992,951,846x = 4,959,029,913,813 × 4,959,029,913,813
  4. Step 4: Simplify right side
    2,305,992,951,846x = 24,591,977,686,092,168,187,346,944
  5. Step 5: Solve for x
    x = 24,591,977,686,092,168,187,346,944/2,305,992,951,846
  6. Step 6: Final answer
    x = 10,664,376,778,084.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.