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Finding the Third Proportional to 3,355,198.50 and 5,130,379.13

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Solution

The third proportional to 3,355,198.50 and 5,130,379.13 is: 7,844,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355,198.50 : 5,130,379.13 = 5,130,379.13 : x
  2. Step 2: Convert to fraction form
    3,355,198.50/5,130,379.13 = 5,130,379.13/x
  3. Step 3: Cross multiply
    3,355,198.50x = 5,130,379.13 × 5,130,379.13
  4. Step 4: Simplify right side
    3,355,198.50x = 26,320,789,966,235.77
  5. Step 5: Solve for x
    x = 26,320,789,966,235.77/3,355,198.50
  6. Step 6: Final answer
    x = 7,844,778.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.