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Finding the Third Proportional to 3,668,941.13 and 7,781,843.25

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Solution

The third proportional to 3,668,941.13 and 7,781,843.25 is: 16,505,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,941.13 : 7,781,843.25 = 7,781,843.25 : x
  2. Step 2: Convert to fraction form
    3,668,941.13/7,781,843.25 = 7,781,843.25/x
  3. Step 3: Cross multiply
    3,668,941.13x = 7,781,843.25 × 7,781,843.25
  4. Step 4: Simplify right side
    3,668,941.13x = 60,557,084,367,570.56
  5. Step 5: Solve for x
    x = 60,557,084,367,570.56/3,668,941.13
  6. Step 6: Final answer
    x = 16,505,330.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.