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Finding the Third Proportional to 6,022,408.50 and 8,584,665.75

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Solution

The third proportional to 6,022,408.50 and 8,584,665.75 is: 12,237,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022,408.50 : 8,584,665.75 = 8,584,665.75 : x
  2. Step 2: Convert to fraction form
    6,022,408.50/8,584,665.75 = 8,584,665.75/x
  3. Step 3: Cross multiply
    6,022,408.50x = 8,584,665.75 × 8,584,665.75
  4. Step 4: Simplify right side
    6,022,408.50x = 73,696,486,039,223.06
  5. Step 5: Solve for x
    x = 73,696,486,039,223.06/6,022,408.50
  6. Step 6: Final answer
    x = 12,237,045.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.