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Finding the Third Proportional to 13,724,000 and 20,186,736

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Solution

The third proportional to 13,724,000 and 20,186,736 is: 29,692,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724,000 : 20,186,736 = 20,186,736 : x
  2. Step 2: Convert to fraction form
    13,724,000/20,186,736 = 20,186,736/x
  3. Step 3: Cross multiply
    13,724,000x = 20,186,736 × 20,186,736
  4. Step 4: Simplify right side
    13,724,000x = 407,504,310,333,696
  5. Step 5: Solve for x
    x = 407,504,310,333,696/13,724,000
  6. Step 6: Final answer
    x = 29,692,823.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.