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Finding the Third Proportional to 548,083,278 and 1,278,905,181

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Solution

The third proportional to 548,083,278 and 1,278,905,181 is: 2,984,215,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,083,278 : 1,278,905,181 = 1,278,905,181 : x
  2. Step 2: Convert to fraction form
    548,083,278/1,278,905,181 = 1,278,905,181/x
  3. Step 3: Cross multiply
    548,083,278x = 1,278,905,181 × 1,278,905,181
  4. Step 4: Simplify right side
    548,083,278x = 1,635,598,461,988,642,816
  5. Step 5: Solve for x
    x = 1,635,598,461,988,642,816/548,083,278
  6. Step 6: Final answer
    x = 2,984,215,223.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.