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Finding the Third Proportional to 8,039,340 and 17,524,152

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Solution

The third proportional to 8,039,340 and 17,524,152 is: 38,199,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039,340 : 17,524,152 = 17,524,152 : x
  2. Step 2: Convert to fraction form
    8,039,340/17,524,152 = 17,524,152/x
  3. Step 3: Cross multiply
    8,039,340x = 17,524,152 × 17,524,152
  4. Step 4: Simplify right side
    8,039,340x = 307,095,903,319,104
  5. Step 5: Solve for x
    x = 307,095,903,319,104/8,039,340
  6. Step 6: Final answer
    x = 38,199,143.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.