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Finding the Third Proportional to 8,108,210 and 17,627,716

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Solution

The third proportional to 8,108,210 and 17,627,716 is: 38,323,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108,210 : 17,627,716 = 17,627,716 : x
  2. Step 2: Convert to fraction form
    8,108,210/17,627,716 = 17,627,716/x
  3. Step 3: Cross multiply
    8,108,210x = 17,627,716 × 17,627,716
  4. Step 4: Simplify right side
    8,108,210x = 310,736,371,376,656
  5. Step 5: Solve for x
    x = 310,736,371,376,656/8,108,210
  6. Step 6: Final answer
    x = 38,323,670.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.