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Finding the Third Proportional to 6,416,165 and 8,716,629

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Solution

The third proportional to 6,416,165 and 8,716,629 is: 11,841,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,165 : 8,716,629 = 8,716,629 : x
  2. Step 2: Convert to fraction form
    6,416,165/8,716,629 = 8,716,629/x
  3. Step 3: Cross multiply
    6,416,165x = 8,716,629 × 8,716,629
  4. Step 4: Simplify right side
    6,416,165x = 75,979,621,123,641
  5. Step 5: Solve for x
    x = 75,979,621,123,641/6,416,165
  6. Step 6: Final answer
    x = 11,841,905.74

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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.