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Finding the Third Proportional to 2,014,279,982 and 4,334,670,074

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Solution

The third proportional to 2,014,279,982 and 4,334,670,074 is: 9,328,079,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,982 : 4,334,670,074 = 4,334,670,074 : x
  2. Step 2: Convert to fraction form
    2,014,279,982/4,334,670,074 = 4,334,670,074/x
  3. Step 3: Cross multiply
    2,014,279,982x = 4,334,670,074 × 4,334,670,074
  4. Step 4: Simplify right side
    2,014,279,982x = 18,789,364,650,431,164,416
  5. Step 5: Solve for x
    x = 18,789,364,650,431,164,416/2,014,279,982
  6. Step 6: Final answer
    x = 9,328,079,918.55

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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.