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Finding the Third Proportional to 4,466,740.50 and 6,682,270.50

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Solution

The third proportional to 4,466,740.50 and 6,682,270.50 is: 9,996,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466,740.50 : 6,682,270.50 = 6,682,270.50 : x
  2. Step 2: Convert to fraction form
    4,466,740.50/6,682,270.50 = 6,682,270.50/x
  3. Step 3: Cross multiply
    4,466,740.50x = 6,682,270.50 × 6,682,270.50
  4. Step 4: Simplify right side
    4,466,740.50x = 44,652,739,035,170.25
  5. Step 5: Solve for x
    x = 44,652,739,035,170.25/4,466,740.50
  6. Step 6: Final answer
    x = 9,996,716.63

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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.