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Finding the Third Proportional to 177,609,886,845 and 383,527,709,365

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Solution

The third proportional to 177,609,886,845 and 383,527,709,365 is: 828,183,084,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,609,886,845 : 383,527,709,365 = 383,527,709,365 : x
  2. Step 2: Convert to fraction form
    177,609,886,845/383,527,709,365 = 383,527,709,365/x
  3. Step 3: Cross multiply
    177,609,886,845x = 383,527,709,365 × 383,527,709,365
  4. Step 4: Simplify right side
    177,609,886,845x = 147,093,503,850,763,912,216,576
  5. Step 5: Solve for x
    x = 147,093,503,850,763,912,216,576/177,609,886,845
  6. Step 6: Final answer
    x = 828,183,084,082.10

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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.