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Finding the Third Proportional to 13,850,840 and 20,698,736

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Solution

The third proportional to 13,850,840 and 20,698,736 is: 30,932,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850,840 : 20,698,736 = 20,698,736 : x
  2. Step 2: Convert to fraction form
    13,850,840/20,698,736 = 20,698,736/x
  3. Step 3: Cross multiply
    13,850,840x = 20,698,736 × 20,698,736
  4. Step 4: Simplify right side
    13,850,840x = 428,437,671,997,696
  5. Step 5: Solve for x
    x = 428,437,671,997,696/13,850,840
  6. Step 6: Final answer
    x = 30,932,251.91

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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.