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Finding the Third Proportional to 265,400,990,096 and 584,899,153,504

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Solution

The third proportional to 265,400,990,096 and 584,899,153,504 is: 1,289,019,380,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,400,990,096 : 584,899,153,504 = 584,899,153,504 : x
  2. Step 2: Convert to fraction form
    265,400,990,096/584,899,153,504 = 584,899,153,504/x
  3. Step 3: Cross multiply
    265,400,990,096x = 584,899,153,504 × 584,899,153,504
  4. Step 4: Simplify right side
    265,400,990,096x = 342,107,019,769,695,732,498,432
  5. Step 5: Solve for x
    x = 342,107,019,769,695,732,498,432/265,400,990,096
  6. Step 6: Final answer
    x = 1,289,019,380,244.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.