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Finding the Third Proportional to 5,192,865 and 12,020,542.31

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Solution

The third proportional to 5,192,865 and 12,020,542.31 is: 27,825,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,865 : 12,020,542.31 = 12,020,542.31 : x
  2. Step 2: Convert to fraction form
    5,192,865/12,020,542.31 = 12,020,542.31/x
  3. Step 3: Cross multiply
    5,192,865x = 12,020,542.31 × 12,020,542.31
  4. Step 4: Simplify right side
    5,192,865x = 144,493,437,486,602.84
  5. Step 5: Solve for x
    x = 144,493,437,486,602.84/5,192,865
  6. Step 6: Final answer
    x = 27,825,379.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.