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Finding the Third Proportional to 4,461,462.91 and 6,019,563.73

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Solution

The third proportional to 4,461,462.91 and 6,019,563.73 is: 8,121,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461,462.91 : 6,019,563.73 = 6,019,563.73 : x
  2. Step 2: Convert to fraction form
    4,461,462.91/6,019,563.73 = 6,019,563.73/x
  3. Step 3: Cross multiply
    4,461,462.91x = 6,019,563.73 × 6,019,563.73
  4. Step 4: Simplify right side
    4,461,462.91x = 36,235,147,458,147.02
  5. Step 5: Solve for x
    x = 36,235,147,458,147.02/4,461,462.91
  6. Step 6: Final answer
    x = 8,121,808.51

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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.