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Finding the Third Proportional to 275,828,104.13 and 600,083,390.25

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Solution

The third proportional to 275,828,104.13 and 600,083,390.25 is: 1,305,523,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,828,104.13 : 600,083,390.25 = 600,083,390.25 : x
  2. Step 2: Convert to fraction form
    275,828,104.13/600,083,390.25 = 600,083,390.25/x
  3. Step 3: Cross multiply
    275,828,104.13x = 600,083,390.25 × 600,083,390.25
  4. Step 4: Simplify right side
    275,828,104.13x = 360,100,075,253,933,824
  5. Step 5: Solve for x
    x = 360,100,075,253,933,824/275,828,104.13
  6. Step 6: Final answer
    x = 1,305,523,512.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.