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Finding the Third Proportional to 2,014,279,957 and 4,334,670,020

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Solution

The third proportional to 2,014,279,957 and 4,334,670,020 is: 9,328,079,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,957 : 4,334,670,020 = 4,334,670,020 : x
  2. Step 2: Convert to fraction form
    2,014,279,957/4,334,670,020 = 4,334,670,020/x
  3. Step 3: Cross multiply
    2,014,279,957x = 4,334,670,020 × 4,334,670,020
  4. Step 4: Simplify right side
    2,014,279,957x = 18,789,364,182,286,798,848
  5. Step 5: Solve for x
    x = 18,789,364,182,286,798,848/2,014,279,957
  6. Step 6: Final answer
    x = 9,328,079,801.91

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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.