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Finding the Third Proportional to 3,781,071 and 5,811,772.50

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Solution

The third proportional to 3,781,071 and 5,811,772.50 is: 8,933,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,071 : 5,811,772.50 = 5,811,772.50 : x
  2. Step 2: Convert to fraction form
    3,781,071/5,811,772.50 = 5,811,772.50/x
  3. Step 3: Cross multiply
    3,781,071x = 5,811,772.50 × 5,811,772.50
  4. Step 4: Simplify right side
    3,781,071x = 33,776,699,591,756.25
  5. Step 5: Solve for x
    x = 33,776,699,591,756.25/3,781,071
  6. Step 6: Final answer
    x = 8,933,103.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.