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Finding the Third Proportional to 2,650,141,818 and 5,741,949,984

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Solution

The third proportional to 2,650,141,818 and 5,741,949,984 is: 12,440,839,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650,141,818 : 5,741,949,984 = 5,741,949,984 : x
  2. Step 2: Convert to fraction form
    2,650,141,818/5,741,949,984 = 5,741,949,984/x
  3. Step 3: Cross multiply
    2,650,141,818x = 5,741,949,984 × 5,741,949,984
  4. Step 4: Simplify right side
    2,650,141,818x = 32,969,989,618,757,599,232
  5. Step 5: Solve for x
    x = 32,969,989,618,757,599,232/2,650,141,818
  6. Step 6: Final answer
    x = 12,440,839,729.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.