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Finding the Third Proportional to 275,827,225 and 600,081,758

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Solution

The third proportional to 275,827,225 and 600,081,758 is: 1,305,520,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,827,225 : 600,081,758 = 600,081,758 : x
  2. Step 2: Convert to fraction form
    275,827,225/600,081,758 = 600,081,758/x
  3. Step 3: Cross multiply
    275,827,225x = 600,081,758 × 600,081,758
  4. Step 4: Simplify right side
    275,827,225x = 360,098,116,284,370,560
  5. Step 5: Solve for x
    x = 360,098,116,284,370,560/275,827,225
  6. Step 6: Final answer
    x = 1,305,520,571.02

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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.