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Finding the Third Proportional to 2,014,279,993 and 4,334,670,092

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Solution

The third proportional to 2,014,279,993 and 4,334,670,092 is: 9,328,079,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,993 : 4,334,670,092 = 4,334,670,092 : x
  2. Step 2: Convert to fraction form
    2,014,279,993/4,334,670,092 = 4,334,670,092/x
  3. Step 3: Cross multiply
    2,014,279,993x = 4,334,670,092 × 4,334,670,092
  4. Step 4: Simplify right side
    2,014,279,993x = 18,789,364,806,479,290,368
  5. Step 5: Solve for x
    x = 18,789,364,806,479,290,368/2,014,279,993
  6. Step 6: Final answer
    x = 9,328,079,945.08

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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.