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Finding the Third Proportional to 6,416,172 and 8,716,639

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Solution

The third proportional to 6,416,172 and 8,716,639 is: 11,841,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,172 : 8,716,639 = 8,716,639 : x
  2. Step 2: Convert to fraction form
    6,416,172/8,716,639 = 8,716,639/x
  3. Step 3: Cross multiply
    6,416,172x = 8,716,639 × 8,716,639
  4. Step 4: Simplify right side
    6,416,172x = 75,979,795,456,321
  5. Step 5: Solve for x
    x = 75,979,795,456,321/6,416,172
  6. Step 6: Final answer
    x = 11,841,919.99

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