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Finding the Third Proportional to 8,143,408.22 and 16,956,659.34

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Solution

The third proportional to 8,143,408.22 and 16,956,659.34 is: 35,308,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143,408.22 : 16,956,659.34 = 16,956,659.34 : x
  2. Step 2: Convert to fraction form
    8,143,408.22/16,956,659.34 = 16,956,659.34/x
  3. Step 3: Cross multiply
    8,143,408.22x = 16,956,659.34 × 16,956,659.34
  4. Step 4: Simplify right side
    8,143,408.22x = 287,528,296,099,984.19
  5. Step 5: Solve for x
    x = 287,528,296,099,984.19/8,143,408.22
  6. Step 6: Final answer
    x = 35,308,102.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.