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Finding the Third Proportional to 49,839,562 and 72,867,182

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Solution

The third proportional to 49,839,562 and 72,867,182 is: 106,534,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,839,562 : 72,867,182 = 72,867,182 : x
  2. Step 2: Convert to fraction form
    49,839,562/72,867,182 = 72,867,182/x
  3. Step 3: Cross multiply
    49,839,562x = 72,867,182 × 72,867,182
  4. Step 4: Simplify right side
    49,839,562x = 5,309,626,212,621,124
  5. Step 5: Solve for x
    x = 5,309,626,212,621,124/49,839,562
  6. Step 6: Final answer
    x = 106,534,367.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.