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Finding the Third Proportional to 6,213,825 and 8,395,285.50

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Solution

The third proportional to 6,213,825 and 8,395,285.50 is: 11,342,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213,825 : 8,395,285.50 = 8,395,285.50 : x
  2. Step 2: Convert to fraction form
    6,213,825/8,395,285.50 = 8,395,285.50/x
  3. Step 3: Cross multiply
    6,213,825x = 8,395,285.50 × 8,395,285.50
  4. Step 4: Simplify right side
    6,213,825x = 70,480,818,626,510.25
  5. Step 5: Solve for x
    x = 70,480,818,626,510.25/6,213,825
  6. Step 6: Final answer
    x = 11,342,581.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.