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Finding the Third Proportional to 265,400,990,228 and 584,899,153,720

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Solution

The third proportional to 265,400,990,228 and 584,899,153,720 is: 1,289,019,380,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,400,990,228 : 584,899,153,720 = 584,899,153,720 : x
  2. Step 2: Convert to fraction form
    265,400,990,228/584,899,153,720 = 584,899,153,720/x
  3. Step 3: Cross multiply
    265,400,990,228x = 584,899,153,720 × 584,899,153,720
  4. Step 4: Simplify right side
    265,400,990,228x = 342,107,020,022,372,215,291,904
  5. Step 5: Solve for x
    x = 342,107,020,022,372,215,291,904/265,400,990,228
  6. Step 6: Final answer
    x = 1,289,019,380,554.97

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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.