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Finding the Third Proportional to 2,859,320.25 and 6,285,367.13

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Solution

The third proportional to 2,859,320.25 and 6,285,367.13 is: 13,816,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859,320.25 : 6,285,367.13 = 6,285,367.13 : x
  2. Step 2: Convert to fraction form
    2,859,320.25/6,285,367.13 = 6,285,367.13/x
  3. Step 3: Cross multiply
    2,859,320.25x = 6,285,367.13 × 6,285,367.13
  4. Step 4: Simplify right side
    2,859,320.25x = 39,505,839,896,030.77
  5. Step 5: Solve for x
    x = 39,505,839,896,030.77/2,859,320.25
  6. Step 6: Final answer
    x = 13,816,514.57

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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.