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Finding the Third Proportional to 5,447,011.50 and 8,194,027.50

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Solution

The third proportional to 5,447,011.50 and 8,194,027.50 is: 12,326,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447,011.50 : 8,194,027.50 = 8,194,027.50 : x
  2. Step 2: Convert to fraction form
    5,447,011.50/8,194,027.50 = 8,194,027.50/x
  3. Step 3: Cross multiply
    5,447,011.50x = 8,194,027.50 × 8,194,027.50
  4. Step 4: Simplify right side
    5,447,011.50x = 67,142,086,670,756.25
  5. Step 5: Solve for x
    x = 67,142,086,670,756.25/5,447,011.50
  6. Step 6: Final answer
    x = 12,326,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.