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Finding the Third Proportional to 13,850,839 and 20,698,737

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Solution

The third proportional to 13,850,839 and 20,698,737 is: 30,932,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850,839 : 20,698,737 = 20,698,737 : x
  2. Step 2: Convert to fraction form
    13,850,839/20,698,737 = 20,698,737/x
  3. Step 3: Cross multiply
    13,850,839x = 20,698,737 × 20,698,737
  4. Step 4: Simplify right side
    13,850,839x = 428,437,713,395,169
  5. Step 5: Solve for x
    x = 428,437,713,395,169/13,850,839
  6. Step 6: Final answer
    x = 30,932,257.13

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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.