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Finding the Third Proportional to 946,268,613 and 2,070,923,161

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Solution

The third proportional to 946,268,613 and 2,070,923,161 is: 4,532,246,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,268,613 : 2,070,923,161 = 2,070,923,161 : x
  2. Step 2: Convert to fraction form
    946,268,613/2,070,923,161 = 2,070,923,161/x
  3. Step 3: Cross multiply
    946,268,613x = 2,070,923,161 × 2,070,923,161
  4. Step 4: Simplify right side
    946,268,613x = 4,288,722,738,766,232,064
  5. Step 5: Solve for x
    x = 4,288,722,738,766,232,064/946,268,613
  6. Step 6: Final answer
    x = 4,532,246,636.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.