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Finding the Third Proportional to 3,782,701.27 and 7,834,561.58

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Solution

The third proportional to 3,782,701.27 and 7,834,561.58 is: 16,226,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,701.27 : 7,834,561.58 = 7,834,561.58 : x
  2. Step 2: Convert to fraction form
    3,782,701.27/7,834,561.58 = 7,834,561.58/x
  3. Step 3: Cross multiply
    3,782,701.27x = 7,834,561.58 × 7,834,561.58
  4. Step 4: Simplify right side
    3,782,701.27x = 61,380,355,090,822.85
  5. Step 5: Solve for x
    x = 61,380,355,090,822.85/3,782,701.27
  6. Step 6: Final answer
    x = 16,226,593.32

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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.