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Finding the Third Proportional to 177,609,886,992 and 383,527,709,652

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Solution

The third proportional to 177,609,886,992 and 383,527,709,652 is: 828,183,084,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,609,886,992 : 383,527,709,652 = 383,527,709,652 : x
  2. Step 2: Convert to fraction form
    177,609,886,992/383,527,709,652 = 383,527,709,652/x
  3. Step 3: Cross multiply
    177,609,886,992x = 383,527,709,652 × 383,527,709,652
  4. Step 4: Simplify right side
    177,609,886,992x = 147,093,504,070,908,819,537,920
  5. Step 5: Solve for x
    x = 147,093,504,070,908,819,537,920/177,609,886,992
  6. Step 6: Final answer
    x = 828,183,084,636.13

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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.