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Finding the Third Proportional to 13,850,811 and 20,698,695

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Solution

The third proportional to 13,850,811 and 20,698,695 is: 30,932,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850,811 : 20,698,695 = 20,698,695 : x
  2. Step 2: Convert to fraction form
    13,850,811/20,698,695 = 20,698,695/x
  3. Step 3: Cross multiply
    13,850,811x = 20,698,695 × 20,698,695
  4. Step 4: Simplify right side
    13,850,811x = 428,435,974,703,025
  5. Step 5: Solve for x
    x = 428,435,974,703,025/13,850,811
  6. Step 6: Final answer
    x = 30,932,194.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.