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Finding the Third Proportional to 1,680,879,739.50 and 2,512,055,364

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Solution

The third proportional to 1,680,879,739.50 and 2,512,055,364 is: 3,754,237,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,879,739.50 : 2,512,055,364 = 2,512,055,364 : x
  2. Step 2: Convert to fraction form
    1,680,879,739.50/2,512,055,364 = 2,512,055,364/x
  3. Step 3: Cross multiply
    1,680,879,739.50x = 2,512,055,364 × 2,512,055,364
  4. Step 4: Simplify right side
    1,680,879,739.50x = 6,310,422,151,801,172,992
  5. Step 5: Solve for x
    x = 6,310,422,151,801,172,992/1,680,879,739.50
  6. Step 6: Final answer
    x = 3,754,237,738.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.