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Finding the Third Proportional to 5,574,176 and 8,257,647

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Solution

The third proportional to 5,574,176 and 8,257,647 is: 12,232,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574,176 : 8,257,647 = 8,257,647 : x
  2. Step 2: Convert to fraction form
    5,574,176/8,257,647 = 8,257,647/x
  3. Step 3: Cross multiply
    5,574,176x = 8,257,647 × 8,257,647
  4. Step 4: Simplify right side
    5,574,176x = 68,188,733,976,609
  5. Step 5: Solve for x
    x = 68,188,733,976,609/5,574,176
  6. Step 6: Final answer
    x = 12,232,971.11

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.