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Finding the Third Proportional to 268,248,063,608 and 544,378,460,128

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Solution

The third proportional to 268,248,063,608 and 544,378,460,128 is: 1,104,753,204,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,248,063,608 : 544,378,460,128 = 544,378,460,128 : x
  2. Step 2: Convert to fraction form
    268,248,063,608/544,378,460,128 = 544,378,460,128/x
  3. Step 3: Cross multiply
    268,248,063,608x = 544,378,460,128 × 544,378,460,128
  4. Step 4: Simplify right side
    268,248,063,608x = 296,347,907,851,332,498,751,488
  5. Step 5: Solve for x
    x = 296,347,907,851,332,498,751,488/268,248,063,608
  6. Step 6: Final answer
    x = 1,104,753,204,423.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.