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Finding the Third Proportional to 1,680,879,728.25 and 2,512,055,349

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Solution

The third proportional to 1,680,879,728.25 and 2,512,055,349 is: 3,754,237,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,879,728.25 : 2,512,055,349 = 2,512,055,349 : x
  2. Step 2: Convert to fraction form
    1,680,879,728.25/2,512,055,349 = 2,512,055,349/x
  3. Step 3: Cross multiply
    1,680,879,728.25x = 2,512,055,349 × 2,512,055,349
  4. Step 4: Simplify right side
    1,680,879,728.25x = 6,310,422,076,439,512,064
  5. Step 5: Solve for x
    x = 6,310,422,076,439,512,064/1,680,879,728.25
  6. Step 6: Final answer
    x = 3,754,237,718.73

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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.