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Finding the Third Proportional to 9,823,218.05 and 20,664,382.08

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Solution

The third proportional to 9,823,218.05 and 20,664,382.08 is: 43,470,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823,218.05 : 20,664,382.08 = 20,664,382.08 : x
  2. Step 2: Convert to fraction form
    9,823,218.05/20,664,382.08 = 20,664,382.08/x
  3. Step 3: Cross multiply
    9,823,218.05x = 20,664,382.08 × 20,664,382.08
  4. Step 4: Simplify right side
    9,823,218.05x = 427,016,686,670,733.69
  5. Step 5: Solve for x
    x = 427,016,686,670,733.69/9,823,218.05
  6. Step 6: Final answer
    x = 43,470,142.33

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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.