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Finding the Third Proportional to 2,129,105,228 and 4,659,577,992

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Solution

The third proportional to 2,129,105,228 and 4,659,577,992 is: 10,197,554,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,105,228 : 4,659,577,992 = 4,659,577,992 : x
  2. Step 2: Convert to fraction form
    2,129,105,228/4,659,577,992 = 4,659,577,992/x
  3. Step 3: Cross multiply
    2,129,105,228x = 4,659,577,992 × 4,659,577,992
  4. Step 4: Simplify right side
    2,129,105,228x = 21,711,667,063,530,754,048
  5. Step 5: Solve for x
    x = 21,711,667,063,530,754,048/2,129,105,228
  6. Step 6: Final answer
    x = 10,197,554,718.29

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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.