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Finding the Third Proportional to 2,014,279,947 and 4,334,670,004

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Solution

The third proportional to 2,014,279,947 and 4,334,670,004 is: 9,328,079,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,279,947 : 4,334,670,004 = 4,334,670,004 : x
  2. Step 2: Convert to fraction form
    2,014,279,947/4,334,670,004 = 4,334,670,004/x
  3. Step 3: Cross multiply
    2,014,279,947x = 4,334,670,004 × 4,334,670,004
  4. Step 4: Simplify right side
    2,014,279,947x = 18,789,364,043,577,360,384
  5. Step 5: Solve for x
    x = 18,789,364,043,577,360,384/2,014,279,947
  6. Step 6: Final answer
    x = 9,328,079,779.36

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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.