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Finding the Third Proportional to 2,014,279,945 and 4,334,670,000

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Solution

The third proportional to 2,014,279,945 and 4,334,670,000 is: 9,328,079,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,945 : 4,334,670,000 = 4,334,670,000 : x
  2. Step 2: Convert to fraction form
    2,014,279,945/4,334,670,000 = 4,334,670,000/x
  3. Step 3: Cross multiply
    2,014,279,945x = 4,334,670,000 × 4,334,670,000
  4. Step 4: Simplify right side
    2,014,279,945x = 18,789,364,008,900,001,792
  5. Step 5: Solve for x
    x = 18,789,364,008,900,001,792/2,014,279,945
  6. Step 6: Final answer
    x = 9,328,079,771.40

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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.