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Finding the Third Proportional to 236,482,589,258 and 489,727,891,828

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Solution

The third proportional to 236,482,589,258 and 489,727,891,828 is: 1,014,169,410,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,482,589,258 : 489,727,891,828 = 489,727,891,828 : x
  2. Step 2: Convert to fraction form
    236,482,589,258/489,727,891,828 = 489,727,891,828/x
  3. Step 3: Cross multiply
    236,482,589,258x = 489,727,891,828 × 489,727,891,828
  4. Step 4: Simplify right side
    236,482,589,258x = 239,833,408,034,297,257,918,464
  5. Step 5: Solve for x
    x = 239,833,408,034,297,257,918,464/236,482,589,258
  6. Step 6: Final answer
    x = 1,014,169,410,047.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.