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Finding the Third Proportional to 7,424,568 and 15,749,208

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Solution

The third proportional to 7,424,568 and 15,749,208 is: 33,407,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424,568 : 15,749,208 = 15,749,208 : x
  2. Step 2: Convert to fraction form
    7,424,568/15,749,208 = 15,749,208/x
  3. Step 3: Cross multiply
    7,424,568x = 15,749,208 × 15,749,208
  4. Step 4: Simplify right side
    7,424,568x = 248,037,552,627,264
  5. Step 5: Solve for x
    x = 248,037,552,627,264/7,424,568
  6. Step 6: Final answer
    x = 33,407,674.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.