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Finding the Third Proportional to 14,206,425 and 30,682,830

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Solution

The third proportional to 14,206,425 and 30,682,830 is: 66,268,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206,425 : 30,682,830 = 30,682,830 : x
  2. Step 2: Convert to fraction form
    14,206,425/30,682,830 = 30,682,830/x
  3. Step 3: Cross multiply
    14,206,425x = 30,682,830 × 30,682,830
  4. Step 4: Simplify right side
    14,206,425x = 941,436,056,808,900
  5. Step 5: Solve for x
    x = 941,436,056,808,900/14,206,425
  6. Step 6: Final answer
    x = 66,268,329.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.