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Finding the Third Proportional to 6,381,466 and 13,659,947

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Solution

The third proportional to 6,381,466 and 13,659,947 is: 29,240,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,466 : 13,659,947 = 13,659,947 : x
  2. Step 2: Convert to fraction form
    6,381,466/13,659,947 = 13,659,947/x
  3. Step 3: Cross multiply
    6,381,466x = 13,659,947 × 13,659,947
  4. Step 4: Simplify right side
    6,381,466x = 186,594,152,042,809
  5. Step 5: Solve for x
    x = 186,594,152,042,809/6,381,466
  6. Step 6: Final answer
    x = 29,240,013.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.