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Finding the Third Proportional to 6,864,006 and 10,282,761

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Solution

The third proportional to 6,864,006 and 10,282,761 is: 15,404,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864,006 : 10,282,761 = 10,282,761 : x
  2. Step 2: Convert to fraction form
    6,864,006/10,282,761 = 10,282,761/x
  3. Step 3: Cross multiply
    6,864,006x = 10,282,761 × 10,282,761
  4. Step 4: Simplify right side
    6,864,006x = 105,735,173,783,121
  5. Step 5: Solve for x
    x = 105,735,173,783,121/6,864,006
  6. Step 6: Final answer
    x = 15,404,295.07

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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.