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Finding the Third Proportional to 2,498,121 and 5,350,262.63

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Solution

The third proportional to 2,498,121 and 5,350,262.63 is: 11,458,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498,121 : 5,350,262.63 = 5,350,262.63 : x
  2. Step 2: Convert to fraction form
    2,498,121/5,350,262.63 = 5,350,262.63/x
  3. Step 3: Cross multiply
    2,498,121x = 5,350,262.63 × 5,350,262.63
  4. Step 4: Simplify right side
    2,498,121x = 28,625,310,156,471.89
  5. Step 5: Solve for x
    x = 28,625,310,156,471.89/2,498,121
  6. Step 6: Final answer
    x = 11,458,736.45

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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.