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Finding the Third Proportional to 3,500,266.50 and 5,715,583.50

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Solution

The third proportional to 3,500,266.50 and 5,715,583.50 is: 9,332,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500,266.50 : 5,715,583.50 = 5,715,583.50 : x
  2. Step 2: Convert to fraction form
    3,500,266.50/5,715,583.50 = 5,715,583.50/x
  3. Step 3: Cross multiply
    3,500,266.50x = 5,715,583.50 × 5,715,583.50
  4. Step 4: Simplify right side
    3,500,266.50x = 32,667,894,745,472.25
  5. Step 5: Solve for x
    x = 32,667,894,745,472.25/3,500,266.50
  6. Step 6: Final answer
    x = 9,332,973.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.