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Finding the Third Proportional to 6,096,774 and 8,916,285

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Solution

The third proportional to 6,096,774 and 8,916,285 is: 13,039,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096,774 : 8,916,285 = 8,916,285 : x
  2. Step 2: Convert to fraction form
    6,096,774/8,916,285 = 8,916,285/x
  3. Step 3: Cross multiply
    6,096,774x = 8,916,285 × 8,916,285
  4. Step 4: Simplify right side
    6,096,774x = 79,500,138,201,225
  5. Step 5: Solve for x
    x = 79,500,138,201,225/6,096,774
  6. Step 6: Final answer
    x = 13,039,705.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.