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Finding the Third Proportional to 3,143,020 and 6,744,824

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Solution

The third proportional to 3,143,020 and 6,744,824 is: 14,474,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,020 : 6,744,824 = 6,744,824 : x
  2. Step 2: Convert to fraction form
    3,143,020/6,744,824 = 6,744,824/x
  3. Step 3: Cross multiply
    3,143,020x = 6,744,824 × 6,744,824
  4. Step 4: Simplify right side
    3,143,020x = 45,492,650,790,976
  5. Step 5: Solve for x
    x = 45,492,650,790,976/3,143,020
  6. Step 6: Final answer
    x = 14,474,184.32

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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.