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Finding the Third Proportional to 8,203,140 and 17,668,422

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Solution

The third proportional to 8,203,140 and 17,668,422 is: 38,055,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,140 : 17,668,422 = 17,668,422 : x
  2. Step 2: Convert to fraction form
    8,203,140/17,668,422 = 17,668,422/x
  3. Step 3: Cross multiply
    8,203,140x = 17,668,422 × 17,668,422
  4. Step 4: Simplify right side
    8,203,140x = 312,173,135,970,084
  5. Step 5: Solve for x
    x = 312,173,135,970,084/8,203,140
  6. Step 6: Final answer
    x = 38,055,322.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.