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Finding the Third Proportional to 10,273,728 and 22,136,859

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Solution

The third proportional to 10,273,728 and 22,136,859 is: 47,698,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273,728 : 22,136,859 = 22,136,859 : x
  2. Step 2: Convert to fraction form
    10,273,728/22,136,859 = 22,136,859/x
  3. Step 3: Cross multiply
    10,273,728x = 22,136,859 × 22,136,859
  4. Step 4: Simplify right side
    10,273,728x = 490,040,526,385,881
  5. Step 5: Solve for x
    x = 490,040,526,385,881/10,273,728
  6. Step 6: Final answer
    x = 47,698,413.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.