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Finding the Third Proportional to 17,142,414 and 36,609,696

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Solution

The third proportional to 17,142,414 and 36,609,696 is: 78,184,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142,414 : 36,609,696 = 36,609,696 : x
  2. Step 2: Convert to fraction form
    17,142,414/36,609,696 = 36,609,696/x
  3. Step 3: Cross multiply
    17,142,414x = 36,609,696 × 36,609,696
  4. Step 4: Simplify right side
    17,142,414x = 1,340,269,841,212,416
  5. Step 5: Solve for x
    x = 1,340,269,841,212,416/17,142,414
  6. Step 6: Final answer
    x = 78,184,428.47

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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.