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Finding the Third Proportional to 3,912,340 and 8,295,704

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Solution

The third proportional to 3,912,340 and 8,295,704 is: 17,590,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912,340 : 8,295,704 = 8,295,704 : x
  2. Step 2: Convert to fraction form
    3,912,340/8,295,704 = 8,295,704/x
  3. Step 3: Cross multiply
    3,912,340x = 8,295,704 × 8,295,704
  4. Step 4: Simplify right side
    3,912,340x = 68,818,704,855,616
  5. Step 5: Solve for x
    x = 68,818,704,855,616/3,912,340
  6. Step 6: Final answer
    x = 17,590,164.67

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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.