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Finding the Third Proportional to 4,991,500.50 and 7,667,558.06

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Solution

The third proportional to 4,991,500.50 and 7,667,558.06 is: 11,778,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,500.50 : 7,667,558.06 = 7,667,558.06 : x
  2. Step 2: Convert to fraction form
    4,991,500.50/7,667,558.06 = 7,667,558.06/x
  3. Step 3: Cross multiply
    4,991,500.50x = 7,667,558.06 × 7,667,558.06
  4. Step 4: Simplify right side
    4,991,500.50x = 58,791,446,641,808.75
  5. Step 5: Solve for x
    x = 58,791,446,641,808.75/4,991,500.50
  6. Step 6: Final answer
    x = 11,778,311.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.