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Finding the Third Proportional to 8,090,370 and 17,381,374

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Solution

The third proportional to 8,090,370 and 17,381,374 is: 37,342,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090,370 : 17,381,374 = 17,381,374 : x
  2. Step 2: Convert to fraction form
    8,090,370/17,381,374 = 17,381,374/x
  3. Step 3: Cross multiply
    8,090,370x = 17,381,374 × 17,381,374
  4. Step 4: Simplify right side
    8,090,370x = 302,112,162,127,876
  5. Step 5: Solve for x
    x = 302,112,162,127,876/8,090,370
  6. Step 6: Final answer
    x = 37,342,193.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.