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Finding the Third Proportional to 6,718,790 and 10,202,601

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Solution

The third proportional to 6,718,790 and 10,202,601 is: 15,492,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718,790 : 10,202,601 = 10,202,601 : x
  2. Step 2: Convert to fraction form
    6,718,790/10,202,601 = 10,202,601/x
  3. Step 3: Cross multiply
    6,718,790x = 10,202,601 × 10,202,601
  4. Step 4: Simplify right side
    6,718,790x = 104,093,067,165,201
  5. Step 5: Solve for x
    x = 104,093,067,165,201/6,718,790
  6. Step 6: Final answer
    x = 15,492,829.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.