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Finding the Third Proportional to 3,880,725 and 8,440,974

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Solution

The third proportional to 3,880,725 and 8,440,974 is: 18,359,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,725 : 8,440,974 = 8,440,974 : x
  2. Step 2: Convert to fraction form
    3,880,725/8,440,974 = 8,440,974/x
  3. Step 3: Cross multiply
    3,880,725x = 8,440,974 × 8,440,974
  4. Step 4: Simplify right side
    3,880,725x = 71,250,042,068,676
  5. Step 5: Solve for x
    x = 71,250,042,068,676/3,880,725
  6. Step 6: Final answer
    x = 18,359,982.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.