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Finding the Third Proportional to 6,838,103.25 and 10,827,961.88

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Solution

The third proportional to 6,838,103.25 and 10,827,961.88 is: 17,145,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,103.25 : 10,827,961.88 = 10,827,961.88 : x
  2. Step 2: Convert to fraction form
    6,838,103.25/10,827,961.88 = 10,827,961.88/x
  3. Step 3: Cross multiply
    6,838,103.25x = 10,827,961.88 × 10,827,961.88
  4. Step 4: Simplify right side
    6,838,103.25x = 117,244,758,366,453.52
  5. Step 5: Solve for x
    x = 117,244,758,366,453.52/6,838,103.25
  6. Step 6: Final answer
    x = 17,145,801.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.