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Finding the Third Proportional to 5,919,122.25 and 12,719,378.25

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Solution

The third proportional to 5,919,122.25 and 12,719,378.25 is: 27,332,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919,122.25 : 12,719,378.25 = 12,719,378.25 : x
  2. Step 2: Convert to fraction form
    5,919,122.25/12,719,378.25 = 12,719,378.25/x
  3. Step 3: Cross multiply
    5,919,122.25x = 12,719,378.25 × 12,719,378.25
  4. Step 4: Simplify right side
    5,919,122.25x = 161,782,583,066,573.06
  5. Step 5: Solve for x
    x = 161,782,583,066,573.06/5,919,122.25
  6. Step 6: Final answer
    x = 27,332,191.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.