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Finding the Third Proportional to 2,014,279,962 and 4,334,670,034

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Solution

The third proportional to 2,014,279,962 and 4,334,670,034 is: 9,328,079,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,962 : 4,334,670,034 = 4,334,670,034 : x
  2. Step 2: Convert to fraction form
    2,014,279,962/4,334,670,034 = 4,334,670,034/x
  3. Step 3: Cross multiply
    2,014,279,962x = 4,334,670,034 × 4,334,670,034
  4. Step 4: Simplify right side
    2,014,279,962x = 18,789,364,303,657,562,112
  5. Step 5: Solve for x
    x = 18,789,364,303,657,562,112/2,014,279,962
  6. Step 6: Final answer
    x = 9,328,079,839.01

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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.