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We are tasked with estimating how many times greater the amount of water is at the Georgia Aquarium compared to the Audubon Aquarium.

### Step-by-Step Solution:

1. **Georgia Aquarium**:  
   The tank holds approximately \( 8.4 \times 10^6 \) gallons of water.

2. **Audubon Aquarium**:  
   The tank holds about 400,000 gallons of water.  
   In scientific notation, 400,000 can be written as:  
   \[ 400,000 = 4.0 \times 10^5 \]

3. **To find how many times greater the Georgia Aquarium is**:  
   We divide the amount of water in the Georgia Aquarium by the amount in the Audubon Aquarium:
   \[
   \frac{8.4 \times 10^6}{4.0 \times 10^5}
   \]
   Simplifying the powers of 10:
   \[
   \frac{8.4}{4.0} \times 10^{6-5} = 2.1 \times 10^1 = 21
   \]

Thus, the Georgia Aquarium holds about **21 times** more water than the Audubon Aquarium.

Would you like further clarification or details on any step? Here are some related questions you might consider:

1. How do we simplify division with powers of 10 in other cases?
2. Why is scientific notation helpful for these types of problems?
3. What would happen if we approximated 8.4 by 8 to make it easier?
4. How would the process change if we were given values not in scientific notation?
5. How can we estimate large differences more quickly in everyday situations?

**Tip**: When dealing with large numbers, using scientific notation simplifies multiplication and division greatly, especially when powers of 10 are involved.

The tanks at the Georgia Aquarium hold approximately 8.4 × 10^6 gallons of water. The tanks at the Audubon Aquarium of the Americas hold about 400,000 gallons of water. Use a single digit times a power of 10 to estimate how many times greater the amount of water is at the Georgia Aquarium.

Learn how to estimate how many times greater the water capacity is at the Georgia Aquarium compared to the Audubon Aquarium using scientific notation. This problem covers key mathematical concepts such as division with powers of 10 and estimation. Ideal for students in Grades 8-10.

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