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Finding the Third Proportional to 6,296,571 and 13,349,824.50

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Solution

The third proportional to 6,296,571 and 13,349,824.50 is: 28,303,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296,571 : 13,349,824.50 = 13,349,824.50 : x
  2. Step 2: Convert to fraction form
    6,296,571/13,349,824.50 = 13,349,824.50/x
  3. Step 3: Cross multiply
    6,296,571x = 13,349,824.50 × 13,349,824.50
  4. Step 4: Simplify right side
    6,296,571x = 178,217,814,180,800.25
  5. Step 5: Solve for x
    x = 178,217,814,180,800.25/6,296,571
  6. Step 6: Final answer
    x = 28,303,947.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.