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Finding the Third Proportional to 4,562,108 and 6,378,132

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Solution

The third proportional to 4,562,108 and 6,378,132 is: 8,917,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,108 : 6,378,132 = 6,378,132 : x
  2. Step 2: Convert to fraction form
    4,562,108/6,378,132 = 6,378,132/x
  3. Step 3: Cross multiply
    4,562,108x = 6,378,132 × 6,378,132
  4. Step 4: Simplify right side
    4,562,108x = 40,680,567,809,424
  5. Step 5: Solve for x
    x = 40,680,567,809,424/4,562,108
  6. Step 6: Final answer
    x = 8,917,054.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.