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Finding the Third Proportional to 31,739,789.25 and 44,696,670.75

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Solution

The third proportional to 31,739,789.25 and 44,696,670.75 is: 62,942,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739,789.25 : 44,696,670.75 = 44,696,670.75 : x
  2. Step 2: Convert to fraction form
    31,739,789.25/44,696,670.75 = 44,696,670.75/x
  3. Step 3: Cross multiply
    31,739,789.25x = 44,696,670.75 × 44,696,670.75
  4. Step 4: Simplify right side
    31,739,789.25x = 1,997,792,376,133,905.50
  5. Step 5: Solve for x
    x = 1,997,792,376,133,905.50/31,739,789.25
  6. Step 6: Final answer
    x = 62,942,836.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.