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Finding the Third Proportional to 5,431,617 and 8,020,255.50

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Solution

The third proportional to 5,431,617 and 8,020,255.50 is: 11,842,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,617 : 8,020,255.50 = 8,020,255.50 : x
  2. Step 2: Convert to fraction form
    5,431,617/8,020,255.50 = 8,020,255.50/x
  3. Step 3: Cross multiply
    5,431,617x = 8,020,255.50 × 8,020,255.50
  4. Step 4: Simplify right side
    5,431,617x = 64,324,498,285,280.25
  5. Step 5: Solve for x
    x = 64,324,498,285,280.25/5,431,617
  6. Step 6: Final answer
    x = 11,842,605.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.