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Finding the Third Proportional to 21,945,452.50 and 48,234,813.50

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Solution

The third proportional to 21,945,452.50 and 48,234,813.50 is: 106,017,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945,452.50 : 48,234,813.50 = 48,234,813.50 : x
  2. Step 2: Convert to fraction form
    21,945,452.50/48,234,813.50 = 48,234,813.50/x
  3. Step 3: Cross multiply
    21,945,452.50x = 48,234,813.50 × 48,234,813.50
  4. Step 4: Simplify right side
    21,945,452.50x = 2,326,597,233,379,782
  5. Step 5: Solve for x
    x = 2,326,597,233,379,782/21,945,452.50
  6. Step 6: Final answer
    x = 106,017,282.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.