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Finding the Third Proportional to 5,574,193 and 8,257,681

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Solution

The third proportional to 5,574,193 and 8,257,681 is: 12,233,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574,193 : 8,257,681 = 8,257,681 : x
  2. Step 2: Convert to fraction form
    5,574,193/8,257,681 = 8,257,681/x
  3. Step 3: Cross multiply
    5,574,193x = 8,257,681 × 8,257,681
  4. Step 4: Simplify right side
    5,574,193x = 68,189,295,497,761
  5. Step 5: Solve for x
    x = 68,189,295,497,761/5,574,193
  6. Step 6: Final answer
    x = 12,233,034.54

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Why These Related Problems?

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