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Finding the Third Proportional to 24,378,674 and 50,775,168

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Solution

The third proportional to 24,378,674 and 50,775,168 is: 105,752,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378,674 : 50,775,168 = 50,775,168 : x
  2. Step 2: Convert to fraction form
    24,378,674/50,775,168 = 50,775,168/x
  3. Step 3: Cross multiply
    24,378,674x = 50,775,168 × 50,775,168
  4. Step 4: Simplify right side
    24,378,674x = 2,578,117,685,428,224
  5. Step 5: Solve for x
    x = 2,578,117,685,428,224/24,378,674
  6. Step 6: Final answer
    x = 105,752,990.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.