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Finding the Third Proportional to 3,782,755.69 and 7,834,679.44

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Solution

The third proportional to 3,782,755.69 and 7,834,679.44 is: 16,226,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,755.69 : 7,834,679.44 = 7,834,679.44 : x
  2. Step 2: Convert to fraction form
    3,782,755.69/7,834,679.44 = 7,834,679.44/x
  3. Step 3: Cross multiply
    3,782,755.69x = 7,834,679.44 × 7,834,679.44
  4. Step 4: Simplify right side
    3,782,755.69x = 61,382,201,888,385.31
  5. Step 5: Solve for x
    x = 61,382,201,888,385.31/3,782,755.69
  6. Step 6: Final answer
    x = 16,226,848.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.