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Finding the Third Proportional to 9,476,708 and 13,859,647

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Solution

The third proportional to 9,476,708 and 13,859,647 is: 20,269,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,708 : 13,859,647 = 13,859,647 : x
  2. Step 2: Convert to fraction form
    9,476,708/13,859,647 = 13,859,647/x
  3. Step 3: Cross multiply
    9,476,708x = 13,859,647 × 13,859,647
  4. Step 4: Simplify right side
    9,476,708x = 192,089,814,964,609
  5. Step 5: Solve for x
    x = 192,089,814,964,609/9,476,708
  6. Step 6: Final answer
    x = 20,269,677.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.