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Finding the Third Proportional to 6,848,769 and 10,282,161

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Solution

The third proportional to 6,848,769 and 10,282,161 is: 15,436,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848,769 : 10,282,161 = 10,282,161 : x
  2. Step 2: Convert to fraction form
    6,848,769/10,282,161 = 10,282,161/x
  3. Step 3: Cross multiply
    6,848,769x = 10,282,161 × 10,282,161
  4. Step 4: Simplify right side
    6,848,769x = 105,722,834,829,921
  5. Step 5: Solve for x
    x = 105,722,834,829,921/6,848,769
  6. Step 6: Final answer
    x = 15,436,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.