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Finding the Third Proportional to 9,822,909 and 20,663,823

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Solution

The third proportional to 9,822,909 and 20,663,823 is: 43,469,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822,909 : 20,663,823 = 20,663,823 : x
  2. Step 2: Convert to fraction form
    9,822,909/20,663,823 = 20,663,823/x
  3. Step 3: Cross multiply
    9,822,909x = 20,663,823 × 20,663,823
  4. Step 4: Simplify right side
    9,822,909x = 426,993,580,975,329
  5. Step 5: Solve for x
    x = 426,993,580,975,329/9,822,909
  6. Step 6: Final answer
    x = 43,469,157.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.