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Finding the Third Proportional to 6,781,298 and 10,171,961

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Solution

The third proportional to 6,781,298 and 10,171,961 is: 15,257,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,298 : 10,171,961 = 10,171,961 : x
  2. Step 2: Convert to fraction form
    6,781,298/10,171,961 = 10,171,961/x
  3. Step 3: Cross multiply
    6,781,298x = 10,171,961 × 10,171,961
  4. Step 4: Simplify right side
    6,781,298x = 103,468,790,585,521
  5. Step 5: Solve for x
    x = 103,468,790,585,521/6,781,298
  6. Step 6: Final answer
    x = 15,257,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.