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Finding the Third Proportional to 255,084,356,352 and 548,024,052,256

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Solution

The third proportional to 255,084,356,352 and 548,024,052,256 is: 1,177,376,637,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084,356,352 : 548,024,052,256 = 548,024,052,256 : x
  2. Step 2: Convert to fraction form
    255,084,356,352/548,024,052,256 = 548,024,052,256/x
  3. Step 3: Cross multiply
    255,084,356,352x = 548,024,052,256 × 548,024,052,256
  4. Step 4: Simplify right side
    255,084,356,352x = 300,330,361,851,087,022,981,120
  5. Step 5: Solve for x
    x = 300,330,361,851,087,022,981,120/255,084,356,352
  6. Step 6: Final answer
    x = 1,177,376,637,854.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.