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Finding the Third Proportional to 7,997,164 and 17,414,168

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Solution

The third proportional to 7,997,164 and 17,414,168 is: 37,920,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997,164 : 17,414,168 = 17,414,168 : x
  2. Step 2: Convert to fraction form
    7,997,164/17,414,168 = 17,414,168/x
  3. Step 3: Cross multiply
    7,997,164x = 17,414,168 × 17,414,168
  4. Step 4: Simplify right side
    7,997,164x = 303,253,247,132,224
  5. Step 5: Solve for x
    x = 303,253,247,132,224/7,997,164
  6. Step 6: Final answer
    x = 37,920,098.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.