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Finding the Third Proportional to 2,729,629,380 and 5,894,208,024

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Solution

The third proportional to 2,729,629,380 and 5,894,208,024 is: 12,727,621,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,629,380 : 5,894,208,024 = 5,894,208,024 : x
  2. Step 2: Convert to fraction form
    2,729,629,380/5,894,208,024 = 5,894,208,024/x
  3. Step 3: Cross multiply
    2,729,629,380x = 5,894,208,024 × 5,894,208,024
  4. Step 4: Simplify right side
    2,729,629,380x = 34,741,688,230,185,984,000
  5. Step 5: Solve for x
    x = 34,741,688,230,185,984,000/2,729,629,380
  6. Step 6: Final answer
    x = 12,727,621,004.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.