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Finding the Third Proportional to 13,106,738 and 19,660,108

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Solution

The third proportional to 13,106,738 and 19,660,108 is: 29,490,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106,738 : 19,660,108 = 19,660,108 : x
  2. Step 2: Convert to fraction form
    13,106,738/19,660,108 = 19,660,108/x
  3. Step 3: Cross multiply
    13,106,738x = 19,660,108 × 19,660,108
  4. Step 4: Simplify right side
    13,106,738x = 386,519,846,571,664
  5. Step 5: Solve for x
    x = 386,519,846,571,664/13,106,738
  6. Step 6: Final answer
    x = 29,490,163.50

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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.