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Finding the Third Proportional to 3,163,512 and 6,824,688

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Solution

The third proportional to 3,163,512 and 6,824,688 is: 14,722,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,512 : 6,824,688 = 6,824,688 : x
  2. Step 2: Convert to fraction form
    3,163,512/6,824,688 = 6,824,688/x
  3. Step 3: Cross multiply
    3,163,512x = 6,824,688 × 6,824,688
  4. Step 4: Simplify right side
    3,163,512x = 46,576,366,297,344
  5. Step 5: Solve for x
    x = 46,576,366,297,344/3,163,512
  6. Step 6: Final answer
    x = 14,722,993.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.