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Finding the Third Proportional to 4,141,524 and 8,483,806.50

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Solution

The third proportional to 4,141,524 and 8,483,806.50 is: 17,378,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141,524 : 8,483,806.50 = 8,483,806.50 : x
  2. Step 2: Convert to fraction form
    4,141,524/8,483,806.50 = 8,483,806.50/x
  3. Step 3: Cross multiply
    4,141,524x = 8,483,806.50 × 8,483,806.50
  4. Step 4: Simplify right side
    4,141,524x = 71,974,972,729,442.25
  5. Step 5: Solve for x
    x = 71,974,972,729,442.25/4,141,524
  6. Step 6: Final answer
    x = 17,378,861.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.