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Finding the Third Proportional to 3,194,783.75 and 6,876,721.75

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Solution

The third proportional to 3,194,783.75 and 6,876,721.75 is: 14,802,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,783.75 : 6,876,721.75 = 6,876,721.75 : x
  2. Step 2: Convert to fraction form
    3,194,783.75/6,876,721.75 = 6,876,721.75/x
  3. Step 3: Cross multiply
    3,194,783.75x = 6,876,721.75 × 6,876,721.75
  4. Step 4: Simplify right side
    3,194,783.75x = 47,289,302,026,923.06
  5. Step 5: Solve for x
    x = 47,289,302,026,923.06/3,194,783.75
  6. Step 6: Final answer
    x = 14,802,035.36

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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.