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Finding the Third Proportional to 13,744,103 and 27,141,282.50

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Solution

The third proportional to 13,744,103 and 27,141,282.50 is: 53,597,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744,103 : 27,141,282.50 = 27,141,282.50 : x
  2. Step 2: Convert to fraction form
    13,744,103/27,141,282.50 = 27,141,282.50/x
  3. Step 3: Cross multiply
    13,744,103x = 27,141,282.50 × 27,141,282.50
  4. Step 4: Simplify right side
    13,744,103x = 736,649,215,744,806.25
  5. Step 5: Solve for x
    x = 736,649,215,744,806.25/13,744,103
  6. Step 6: Final answer
    x = 53,597,474.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.