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Finding the Third Proportional to 7,858,640.25 and 17,178,193.13

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Solution

The third proportional to 7,858,640.25 and 17,178,193.13 is: 37,549,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858,640.25 : 17,178,193.13 = 17,178,193.13 : x
  2. Step 2: Convert to fraction form
    7,858,640.25/17,178,193.13 = 17,178,193.13/x
  3. Step 3: Cross multiply
    7,858,640.25x = 17,178,193.13 × 17,178,193.13
  4. Step 4: Simplify right side
    7,858,640.25x = 295,090,319,039,797.25
  5. Step 5: Solve for x
    x = 295,090,319,039,797.25/7,858,640.25
  6. Step 6: Final answer
    x = 37,549,793.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.