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Finding the Third Proportional to 6,085,814 and 12,850,680

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Solution

The third proportional to 6,085,814 and 12,850,680 is: 27,135,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085,814 : 12,850,680 = 12,850,680 : x
  2. Step 2: Convert to fraction form
    6,085,814/12,850,680 = 12,850,680/x
  3. Step 3: Cross multiply
    6,085,814x = 12,850,680 × 12,850,680
  4. Step 4: Simplify right side
    6,085,814x = 165,139,976,462,400
  5. Step 5: Solve for x
    x = 165,139,976,462,400/6,085,814
  6. Step 6: Final answer
    x = 27,135,232.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.