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Finding the Third Proportional to 9,164,208 and 18,097,080

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Solution

The third proportional to 9,164,208 and 18,097,080 is: 35,737,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164,208 : 18,097,080 = 18,097,080 : x
  2. Step 2: Convert to fraction form
    9,164,208/18,097,080 = 18,097,080/x
  3. Step 3: Cross multiply
    9,164,208x = 18,097,080 × 18,097,080
  4. Step 4: Simplify right side
    9,164,208x = 327,504,304,526,400
  5. Step 5: Solve for x
    x = 327,504,304,526,400/9,164,208
  6. Step 6: Final answer
    x = 35,737,327.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.