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Finding the Third Proportional to 6,416,168 and 8,716,633

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Solution

The third proportional to 6,416,168 and 8,716,633 is: 11,841,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,168 : 8,716,633 = 8,716,633 : x
  2. Step 2: Convert to fraction form
    6,416,168/8,716,633 = 8,716,633/x
  3. Step 3: Cross multiply
    6,416,168x = 8,716,633 × 8,716,633
  4. Step 4: Simplify right side
    6,416,168x = 75,979,690,856,689
  5. Step 5: Solve for x
    x = 75,979,690,856,689/6,416,168
  6. Step 6: Final answer
    x = 11,841,911.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.