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Finding the Third Proportional to 23,682,786 and 51,019,968

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Solution

The third proportional to 23,682,786 and 51,019,968 is: 109,912,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682,786 : 51,019,968 = 51,019,968 : x
  2. Step 2: Convert to fraction form
    23,682,786/51,019,968 = 51,019,968/x
  3. Step 3: Cross multiply
    23,682,786x = 51,019,968 × 51,019,968
  4. Step 4: Simplify right side
    23,682,786x = 2,603,037,134,721,024
  5. Step 5: Solve for x
    x = 2,603,037,134,721,024/23,682,786
  6. Step 6: Final answer
    x = 109,912,623.23

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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.