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Finding the Third Proportional to 3,661,566 and 7,974,072

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Solution

The third proportional to 3,661,566 and 7,974,072 is: 17,365,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661,566 : 7,974,072 = 7,974,072 : x
  2. Step 2: Convert to fraction form
    3,661,566/7,974,072 = 7,974,072/x
  3. Step 3: Cross multiply
    3,661,566x = 7,974,072 × 7,974,072
  4. Step 4: Simplify right side
    3,661,566x = 63,585,824,261,184
  5. Step 5: Solve for x
    x = 63,585,824,261,184/3,661,566
  6. Step 6: Final answer
    x = 17,365,745.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.