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Finding the Third Proportional to 2,829,573 and 6,137,649

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Solution

The third proportional to 2,829,573 and 6,137,649 is: 13,313,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,573 : 6,137,649 = 6,137,649 : x
  2. Step 2: Convert to fraction form
    2,829,573/6,137,649 = 6,137,649/x
  3. Step 3: Cross multiply
    2,829,573x = 6,137,649 × 6,137,649
  4. Step 4: Simplify right side
    2,829,573x = 37,670,735,247,201
  5. Step 5: Solve for x
    x = 37,670,735,247,201/2,829,573
  6. Step 6: Final answer
    x = 13,313,222.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.