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Finding the Third Proportional to 3,105,722 and 6,584,692

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Solution

The third proportional to 3,105,722 and 6,584,692 is: 13,960,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,722 : 6,584,692 = 6,584,692 : x
  2. Step 2: Convert to fraction form
    3,105,722/6,584,692 = 6,584,692/x
  3. Step 3: Cross multiply
    3,105,722x = 6,584,692 × 6,584,692
  4. Step 4: Simplify right side
    3,105,722x = 43,358,168,734,864
  5. Step 5: Solve for x
    x = 43,358,168,734,864/3,105,722
  6. Step 6: Final answer
    x = 13,960,737.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.