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Finding the Third Proportional to 4,811,181.19 and 10,469,323.69

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Solution

The third proportional to 4,811,181.19 and 10,469,323.69 is: 22,781,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811,181.19 : 10,469,323.69 = 10,469,323.69 : x
  2. Step 2: Convert to fraction form
    4,811,181.19/10,469,323.69 = 10,469,323.69/x
  3. Step 3: Cross multiply
    4,811,181.19x = 10,469,323.69 × 10,469,323.69
  4. Step 4: Simplify right side
    4,811,181.19x = 109,606,738,473,648.59
  5. Step 5: Solve for x
    x = 109,606,738,473,648.59/4,811,181.19
  6. Step 6: Final answer
    x = 22,781,669.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.