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Finding the Third Proportional to 5,144,841 and 11,175,378

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Solution

The third proportional to 5,144,841 and 11,175,378 is: 24,274,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144,841 : 11,175,378 = 11,175,378 : x
  2. Step 2: Convert to fraction form
    5,144,841/11,175,378 = 11,175,378/x
  3. Step 3: Cross multiply
    5,144,841x = 11,175,378 × 11,175,378
  4. Step 4: Simplify right side
    5,144,841x = 124,889,073,442,884
  5. Step 5: Solve for x
    x = 124,889,073,442,884/5,144,841
  6. Step 6: Final answer
    x = 24,274,622.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.