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Finding the Third Proportional to 4,826,800 and 7,082,410.50

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Solution

The third proportional to 4,826,800 and 7,082,410.50 is: 10,392,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826,800 : 7,082,410.50 = 7,082,410.50 : x
  2. Step 2: Convert to fraction form
    4,826,800/7,082,410.50 = 7,082,410.50/x
  3. Step 3: Cross multiply
    4,826,800x = 7,082,410.50 × 7,082,410.50
  4. Step 4: Simplify right side
    4,826,800x = 50,160,538,490,510.25
  5. Step 5: Solve for x
    x = 50,160,538,490,510.25/4,826,800
  6. Step 6: Final answer
    x = 10,392,089.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.