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Finding the Third Proportional to 495,041,091 and 1,049,093,976

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Solution

The third proportional to 495,041,091 and 1,049,093,976 is: 2,223,246,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,041,091 : 1,049,093,976 = 1,049,093,976 : x
  2. Step 2: Convert to fraction form
    495,041,091/1,049,093,976 = 1,049,093,976/x
  3. Step 3: Cross multiply
    495,041,091x = 1,049,093,976 × 1,049,093,976
  4. Step 4: Simplify right side
    495,041,091x = 1,100,598,170,479,488,512
  5. Step 5: Solve for x
    x = 1,100,598,170,479,488,512/495,041,091
  6. Step 6: Final answer
    x = 2,223,246,091.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.