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Finding the Third Proportional to 1,230,209,232 and 2,694,094,992

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Solution

The third proportional to 1,230,209,232 and 2,694,094,992 is: 5,899,929,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,209,232 : 2,694,094,992 = 2,694,094,992 : x
  2. Step 2: Convert to fraction form
    1,230,209,232/2,694,094,992 = 2,694,094,992/x
  3. Step 3: Cross multiply
    1,230,209,232x = 2,694,094,992 × 2,694,094,992
  4. Step 4: Simplify right side
    1,230,209,232x = 7,258,147,825,919,479,808
  5. Step 5: Solve for x
    x = 7,258,147,825,919,479,808/1,230,209,232
  6. Step 6: Final answer
    x = 5,899,929,570.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.