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Finding the Third Proportional to 3,834,905.77 and 8,391,384.84

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Solution

The third proportional to 3,834,905.77 and 8,391,384.84 is: 18,361,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,905.77 : 8,391,384.84 = 8,391,384.84 : x
  2. Step 2: Convert to fraction form
    3,834,905.77/8,391,384.84 = 8,391,384.84/x
  3. Step 3: Cross multiply
    3,834,905.77x = 8,391,384.84 × 8,391,384.84
  4. Step 4: Simplify right side
    3,834,905.77x = 70,415,339,595,917.22
  5. Step 5: Solve for x
    x = 70,415,339,595,917.22/3,834,905.77
  6. Step 6: Final answer
    x = 18,361,687.07

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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.