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Finding the Third Proportional to 275,828,128 and 600,083,440

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Solution

The third proportional to 275,828,128 and 600,083,440 is: 1,305,523,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,828,128 : 600,083,440 = 600,083,440 : x
  2. Step 2: Convert to fraction form
    275,828,128/600,083,440 = 600,083,440/x
  3. Step 3: Cross multiply
    275,828,128x = 600,083,440 × 600,083,440
  4. Step 4: Simplify right side
    275,828,128x = 360,100,134,962,233,600
  5. Step 5: Solve for x
    x = 360,100,134,962,233,600/275,828,128
  6. Step 6: Final answer
    x = 1,305,523,615.64

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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.