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Finding the Third Proportional to 5,997,754.48 and 12,951,212.77

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Solution

The third proportional to 5,997,754.48 and 12,951,212.77 is: 27,966,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997,754.48 : 12,951,212.77 = 12,951,212.77 : x
  2. Step 2: Convert to fraction form
    5,997,754.48/12,951,212.77 = 12,951,212.77/x
  3. Step 3: Cross multiply
    5,997,754.48x = 12,951,212.77 × 12,951,212.77
  4. Step 4: Simplify right side
    5,997,754.48x = 167,733,912,100,487.97
  5. Step 5: Solve for x
    x = 167,733,912,100,487.97/5,997,754.48
  6. Step 6: Final answer
    x = 27,966,118.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.