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Finding the Third Proportional to 272,550,751,176 and 596,394,061,908

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Solution

The third proportional to 272,550,751,176 and 596,394,061,908 is: 1,305,026,221,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,550,751,176 : 596,394,061,908 = 596,394,061,908 : x
  2. Step 2: Convert to fraction form
    272,550,751,176/596,394,061,908 = 596,394,061,908/x
  3. Step 3: Cross multiply
    272,550,751,176x = 596,394,061,908 × 596,394,061,908
  4. Step 4: Simplify right side
    272,550,751,176x = 355,685,877,079,123,322,470,400
  5. Step 5: Solve for x
    x = 355,685,877,079,123,322,470,400/272,550,751,176
  6. Step 6: Final answer
    x = 1,305,026,221,884.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.