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Finding the Third Proportional to 4,212,016 and 9,096,496

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Solution

The third proportional to 4,212,016 and 9,096,496 is: 19,645,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,016 : 9,096,496 = 9,096,496 : x
  2. Step 2: Convert to fraction form
    4,212,016/9,096,496 = 9,096,496/x
  3. Step 3: Cross multiply
    4,212,016x = 9,096,496 × 9,096,496
  4. Step 4: Simplify right side
    4,212,016x = 82,746,239,478,016
  5. Step 5: Solve for x
    x = 82,746,239,478,016/4,212,016
  6. Step 6: Final answer
    x = 19,645,281.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.