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Finding the Third Proportional to 5,284,386 and 8,097,165

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Solution

The third proportional to 5,284,386 and 8,097,165 is: 12,407,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284,386 : 8,097,165 = 8,097,165 : x
  2. Step 2: Convert to fraction form
    5,284,386/8,097,165 = 8,097,165/x
  3. Step 3: Cross multiply
    5,284,386x = 8,097,165 × 8,097,165
  4. Step 4: Simplify right side
    5,284,386x = 65,564,081,037,225
  5. Step 5: Solve for x
    x = 65,564,081,037,225/5,284,386
  6. Step 6: Final answer
    x = 12,407,133.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.