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Finding the Third Proportional to 8,019,284 and 11,586,478

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Solution

The third proportional to 8,019,284 and 11,586,478 is: 16,740,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019,284 : 11,586,478 = 11,586,478 : x
  2. Step 2: Convert to fraction form
    8,019,284/11,586,478 = 11,586,478/x
  3. Step 3: Cross multiply
    8,019,284x = 11,586,478 × 11,586,478
  4. Step 4: Simplify right side
    8,019,284x = 134,246,472,444,484
  5. Step 5: Solve for x
    x = 134,246,472,444,484/8,019,284
  6. Step 6: Final answer
    x = 16,740,456.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.