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Finding the Third Proportional to 8,021,175 and 16,703,274

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Solution

The third proportional to 8,021,175 and 16,703,274 is: 34,782,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,175 : 16,703,274 = 16,703,274 : x
  2. Step 2: Convert to fraction form
    8,021,175/16,703,274 = 16,703,274/x
  3. Step 3: Cross multiply
    8,021,175x = 16,703,274 × 16,703,274
  4. Step 4: Simplify right side
    8,021,175x = 278,999,362,319,076
  5. Step 5: Solve for x
    x = 278,999,362,319,076/8,021,175
  6. Step 6: Final answer
    x = 34,782,854.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.