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Finding the Third Proportional to 9,096,497 and 19,902,094

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Solution

The third proportional to 9,096,497 and 19,902,094 is: 43,543,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,497 : 19,902,094 = 19,902,094 : x
  2. Step 2: Convert to fraction form
    9,096,497/19,902,094 = 19,902,094/x
  3. Step 3: Cross multiply
    9,096,497x = 19,902,094 × 19,902,094
  4. Step 4: Simplify right side
    9,096,497x = 396,093,345,584,836
  5. Step 5: Solve for x
    x = 396,093,345,584,836/9,096,497
  6. Step 6: Final answer
    x = 43,543,503.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.