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Finding the Third Proportional to 5,475,195 and 12,674,722

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Solution

The third proportional to 5,475,195 and 12,674,722 is: 29,341,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475,195 : 12,674,722 = 12,674,722 : x
  2. Step 2: Convert to fraction form
    5,475,195/12,674,722 = 12,674,722/x
  3. Step 3: Cross multiply
    5,475,195x = 12,674,722 × 12,674,722
  4. Step 4: Simplify right side
    5,475,195x = 160,648,577,777,284
  5. Step 5: Solve for x
    x = 160,648,577,777,284/5,475,195
  6. Step 6: Final answer
    x = 29,341,160.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.