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Finding the Third Proportional to 177,609,886,843 and 383,527,709,361

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Solution

The third proportional to 177,609,886,843 and 383,527,709,361 is: 828,183,084,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,609,886,843 : 383,527,709,361 = 383,527,709,361 : x
  2. Step 2: Convert to fraction form
    177,609,886,843/383,527,709,361 = 383,527,709,361/x
  3. Step 3: Cross multiply
    177,609,886,843x = 383,527,709,361 × 383,527,709,361
  4. Step 4: Simplify right side
    177,609,886,843x = 147,093,503,847,695,694,954,496
  5. Step 5: Solve for x
    x = 147,093,503,847,695,694,954,496/177,609,886,843
  6. Step 6: Final answer
    x = 828,183,084,074.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.