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Finding the Third Proportional to 2,647,498 and 5,780,510

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Solution

The third proportional to 2,647,498 and 5,780,510 is: 12,621,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647,498 : 5,780,510 = 5,780,510 : x
  2. Step 2: Convert to fraction form
    2,647,498/5,780,510 = 5,780,510/x
  3. Step 3: Cross multiply
    2,647,498x = 5,780,510 × 5,780,510
  4. Step 4: Simplify right side
    2,647,498x = 33,414,295,860,100
  5. Step 5: Solve for x
    x = 33,414,295,860,100/2,647,498
  6. Step 6: Final answer
    x = 12,621,084.46

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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.