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Finding the Third Proportional to 8,253,210 and 18,100,739

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Solution

The third proportional to 8,253,210 and 18,100,739 is: 39,698,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,210 : 18,100,739 = 18,100,739 : x
  2. Step 2: Convert to fraction form
    8,253,210/18,100,739 = 18,100,739/x
  3. Step 3: Cross multiply
    8,253,210x = 18,100,739 × 18,100,739
  4. Step 4: Simplify right side
    8,253,210x = 327,636,752,346,121
  5. Step 5: Solve for x
    x = 327,636,752,346,121/8,253,210
  6. Step 6: Final answer
    x = 39,698,099.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.