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Finding the Third Proportional to 9,476,703 and 13,859,640

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Solution

The third proportional to 9,476,703 and 13,859,640 is: 20,269,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,703 : 13,859,640 = 13,859,640 : x
  2. Step 2: Convert to fraction form
    9,476,703/13,859,640 = 13,859,640/x
  3. Step 3: Cross multiply
    9,476,703x = 13,859,640 × 13,859,640
  4. Step 4: Simplify right side
    9,476,703x = 192,089,620,929,600
  5. Step 5: Solve for x
    x = 192,089,620,929,600/9,476,703
  6. Step 6: Final answer
    x = 20,269,667.72

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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.