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Finding the Third Proportional to 5,289,538 and 11,458,052

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Solution

The third proportional to 5,289,538 and 11,458,052 is: 24,820,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289,538 : 11,458,052 = 11,458,052 : x
  2. Step 2: Convert to fraction form
    5,289,538/11,458,052 = 11,458,052/x
  3. Step 3: Cross multiply
    5,289,538x = 11,458,052 × 11,458,052
  4. Step 4: Simplify right side
    5,289,538x = 131,286,955,634,704
  5. Step 5: Solve for x
    x = 131,286,955,634,704/5,289,538
  6. Step 6: Final answer
    x = 24,820,117.68

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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.