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Finding the Third Proportional to 7,682,712 and 16,485,168

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Solution

The third proportional to 7,682,712 and 16,485,168 is: 35,373,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682,712 : 16,485,168 = 16,485,168 : x
  2. Step 2: Convert to fraction form
    7,682,712/16,485,168 = 16,485,168/x
  3. Step 3: Cross multiply
    7,682,712x = 16,485,168 × 16,485,168
  4. Step 4: Simplify right side
    7,682,712x = 271,760,763,988,224
  5. Step 5: Solve for x
    x = 271,760,763,988,224/7,682,712
  6. Step 6: Final answer
    x = 35,373,025.04

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Why These Related Problems?

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