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Finding the Third Proportional to 6,416,786 and 8,563,035

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Solution

The third proportional to 6,416,786 and 8,563,035 is: 11,427,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,786 : 8,563,035 = 8,563,035 : x
  2. Step 2: Convert to fraction form
    6,416,786/8,563,035 = 8,563,035/x
  3. Step 3: Cross multiply
    6,416,786x = 8,563,035 × 8,563,035
  4. Step 4: Simplify right side
    6,416,786x = 73,325,568,411,225
  5. Step 5: Solve for x
    x = 73,325,568,411,225/6,416,786
  6. Step 6: Final answer
    x = 11,427,148.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.