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Finding the Third Proportional to 2,358,093 and 5,052,376

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Solution

The third proportional to 2,358,093 and 5,052,376 is: 10,825,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,093 : 5,052,376 = 5,052,376 : x
  2. Step 2: Convert to fraction form
    2,358,093/5,052,376 = 5,052,376/x
  3. Step 3: Cross multiply
    2,358,093x = 5,052,376 × 5,052,376
  4. Step 4: Simplify right side
    2,358,093x = 25,526,503,245,376
  5. Step 5: Solve for x
    x = 25,526,503,245,376/2,358,093
  6. Step 6: Final answer
    x = 10,825,062.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.