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Finding the Third Proportional to 3,102,030 and 6,816,379.50

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Solution

The third proportional to 3,102,030 and 6,816,379.50 is: 14,978,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,030 : 6,816,379.50 = 6,816,379.50 : x
  2. Step 2: Convert to fraction form
    3,102,030/6,816,379.50 = 6,816,379.50/x
  3. Step 3: Cross multiply
    3,102,030x = 6,816,379.50 × 6,816,379.50
  4. Step 4: Simplify right side
    3,102,030x = 46,463,029,488,020.25
  5. Step 5: Solve for x
    x = 46,463,029,488,020.25/3,102,030
  6. Step 6: Final answer
    x = 14,978,265.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.