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Finding the Third Proportional to 6,419,112 and 14,097,744

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Solution

The third proportional to 6,419,112 and 14,097,744 is: 30,961,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,112 : 14,097,744 = 14,097,744 : x
  2. Step 2: Convert to fraction form
    6,419,112/14,097,744 = 14,097,744/x
  3. Step 3: Cross multiply
    6,419,112x = 14,097,744 × 14,097,744
  4. Step 4: Simplify right side
    6,419,112x = 198,746,385,889,536
  5. Step 5: Solve for x
    x = 198,746,385,889,536/6,419,112
  6. Step 6: Final answer
    x = 30,961,663.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.