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Finding the Third Proportional to 8,077,334 and 17,275,276

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Solution

The third proportional to 8,077,334 and 17,275,276 is: 36,947,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077,334 : 17,275,276 = 17,275,276 : x
  2. Step 2: Convert to fraction form
    8,077,334/17,275,276 = 17,275,276/x
  3. Step 3: Cross multiply
    8,077,334x = 17,275,276 × 17,275,276
  4. Step 4: Simplify right side
    8,077,334x = 298,435,160,876,176
  5. Step 5: Solve for x
    x = 298,435,160,876,176/8,077,334
  6. Step 6: Final answer
    x = 36,947,235.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.