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Finding the Third Proportional to 3,011,976 and 6,460,704

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Solution

The third proportional to 3,011,976 and 6,460,704 is: 13,858,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,976 : 6,460,704 = 6,460,704 : x
  2. Step 2: Convert to fraction form
    3,011,976/6,460,704 = 6,460,704/x
  3. Step 3: Cross multiply
    3,011,976x = 6,460,704 × 6,460,704
  4. Step 4: Simplify right side
    3,011,976x = 41,740,696,175,616
  5. Step 5: Solve for x
    x = 41,740,696,175,616/3,011,976
  6. Step 6: Final answer
    x = 13,858,243.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.