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Finding the Third Proportional to 6,781,331 and 10,172,010

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Solution

The third proportional to 6,781,331 and 10,172,010 is: 15,258,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,331 : 10,172,010 = 10,172,010 : x
  2. Step 2: Convert to fraction form
    6,781,331/10,172,010 = 10,172,010/x
  3. Step 3: Cross multiply
    6,781,331x = 10,172,010 × 10,172,010
  4. Step 4: Simplify right side
    6,781,331x = 103,469,787,440,100
  5. Step 5: Solve for x
    x = 103,469,787,440,100/6,781,331
  6. Step 6: Final answer
    x = 15,258,035.25

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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.