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Finding the Third Proportional to 633,147,024 and 1,375,286,712

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Solution

The third proportional to 633,147,024 and 1,375,286,712 is: 2,987,321,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,147,024 : 1,375,286,712 = 1,375,286,712 : x
  2. Step 2: Convert to fraction form
    633,147,024/1,375,286,712 = 1,375,286,712/x
  3. Step 3: Cross multiply
    633,147,024x = 1,375,286,712 × 1,375,286,712
  4. Step 4: Simplify right side
    633,147,024x = 1,891,413,540,203,770,880
  5. Step 5: Solve for x
    x = 1,891,413,540,203,770,880/633,147,024
  6. Step 6: Final answer
    x = 2,987,321,220.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.