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Finding the Third Proportional to 3,271,833 and 6,963,570

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Solution

The third proportional to 3,271,833 and 6,963,570 is: 14,820,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,833 : 6,963,570 = 6,963,570 : x
  2. Step 2: Convert to fraction form
    3,271,833/6,963,570 = 6,963,570/x
  3. Step 3: Cross multiply
    3,271,833x = 6,963,570 × 6,963,570
  4. Step 4: Simplify right side
    3,271,833x = 48,491,307,144,900
  5. Step 5: Solve for x
    x = 48,491,307,144,900/3,271,833
  6. Step 6: Final answer
    x = 14,820,838.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.