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Finding the Third Proportional to 2,725,598,215.69 and 5,916,368,187.56

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Solution

The third proportional to 2,725,598,215.69 and 5,916,368,187.56 is: 12,842,469,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,598,215.69 : 5,916,368,187.56 = 5,916,368,187.56 : x
  2. Step 2: Convert to fraction form
    2,725,598,215.69/5,916,368,187.56 = 5,916,368,187.56/x
  3. Step 3: Cross multiply
    2,725,598,215.69x = 5,916,368,187.56 × 5,916,368,187.56
  4. Step 4: Simplify right side
    2,725,598,215.69x = 35,003,412,530,801,582,080
  5. Step 5: Solve for x
    x = 35,003,412,530,801,582,080/2,725,598,215.69
  6. Step 6: Final answer
    x = 12,842,469,711.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.