Sure, let's take a hypothetical company's financial report. Let's say five years ago, the company's revenue was $1 million, and in the most recent report, it's $2 million. This means the company's revenue has doubled over five years. To calculate the average annual growth rate, we can use the formula: (Ending value / Beginning value) ^ (1 / Number of years) - 1. So, (2 million / 1 million) ^ (1 / 5) - 1 = 0.1487 or approximately 14.87%. This is the average annual growth rate. Similarly, you can calculate the growth rates for other key numbers. Remember, this is a simplified example and real-world calculations might be more complex and take other factors into account.

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The question seems to be asking for an example or explanation based on the given average rates for 3, 5, and 10 years. However, the question is not clear on what exactly is being asked for.

If you're asking how these rates could impact an investment, it would depend on the type of investment and the specific circumstances.

For example, if these are interest rates for a savings account, the higher the rate, the more your money will grow over time. So, a 10-year rate of 41.77% would yield more growth than a 3-year rate of 9.13%.

If these are growth rates for a company, they indicate that the company has been growing rapidly, especially in the last 10 years. This could be a positive sign for potential investors, but it's also important to consider other factors like the company's profitability, debt levels, and market conditions.

Remember, past performance is not always indicative of future results, so it's important to do thorough research and consider seeking advice from a financial advisor.

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