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Finding the Third Proportional to 236,482,589,270 and 489,727,891,852

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Solution

The third proportional to 236,482,589,270 and 489,727,891,852 is: 1,014,169,410,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,482,589,270 : 489,727,891,852 = 489,727,891,852 : x
  2. Step 2: Convert to fraction form
    236,482,589,270/489,727,891,852 = 489,727,891,852/x
  3. Step 3: Cross multiply
    236,482,589,270x = 489,727,891,852 × 489,727,891,852
  4. Step 4: Simplify right side
    236,482,589,270x = 239,833,408,057,804,217,909,248
  5. Step 5: Solve for x
    x = 239,833,408,057,804,217,909,248/236,482,589,270
  6. Step 6: Final answer
    x = 1,014,169,410,095.47

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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.