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Finding the Third Proportional to 2,627,106 and 5,659,480

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Solution

The third proportional to 2,627,106 and 5,659,480 is: 12,192,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,106 : 5,659,480 = 5,659,480 : x
  2. Step 2: Convert to fraction form
    2,627,106/5,659,480 = 5,659,480/x
  3. Step 3: Cross multiply
    2,627,106x = 5,659,480 × 5,659,480
  4. Step 4: Simplify right side
    2,627,106x = 32,029,713,870,400
  5. Step 5: Solve for x
    x = 32,029,713,870,400/2,627,106
  6. Step 6: Final answer
    x = 12,192,014.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.