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Finding the Third Proportional to 2,014,279,931 and 4,334,669,968

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Solution

The third proportional to 2,014,279,931 and 4,334,669,968 is: 9,328,079,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,931 : 4,334,669,968 = 4,334,669,968 : x
  2. Step 2: Convert to fraction form
    2,014,279,931/4,334,669,968 = 4,334,669,968/x
  3. Step 3: Cross multiply
    2,014,279,931x = 4,334,669,968 × 4,334,669,968
  4. Step 4: Simplify right side
    2,014,279,931x = 18,789,363,731,481,120,768
  5. Step 5: Solve for x
    x = 18,789,363,731,481,120,768/2,014,279,931
  6. Step 6: Final answer
    x = 9,328,079,698.51

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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.