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Finding the Third Proportional to 5,841,190 and 12,783,524

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Solution

The third proportional to 5,841,190 and 12,783,524 is: 27,976,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841,190 : 12,783,524 = 12,783,524 : x
  2. Step 2: Convert to fraction form
    5,841,190/12,783,524 = 12,783,524/x
  3. Step 3: Cross multiply
    5,841,190x = 12,783,524 × 12,783,524
  4. Step 4: Simplify right side
    5,841,190x = 163,418,485,858,576
  5. Step 5: Solve for x
    x = 163,418,485,858,576/5,841,190
  6. Step 6: Final answer
    x = 27,976,916.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.