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Finding the Third Proportional to 6,085,834 and 12,850,720

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Solution

The third proportional to 6,085,834 and 12,850,720 is: 27,135,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085,834 : 12,850,720 = 12,850,720 : x
  2. Step 2: Convert to fraction form
    6,085,834/12,850,720 = 12,850,720/x
  3. Step 3: Cross multiply
    6,085,834x = 12,850,720 × 12,850,720
  4. Step 4: Simplify right side
    6,085,834x = 165,141,004,518,400
  5. Step 5: Solve for x
    x = 165,141,004,518,400/6,085,834
  6. Step 6: Final answer
    x = 27,135,312.02

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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.