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Finding the Third Proportional to 127,186,880 and 275,882,176

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Solution

The third proportional to 127,186,880 and 275,882,176 is: 598,418,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,186,880 : 275,882,176 = 275,882,176 : x
  2. Step 2: Convert to fraction form
    127,186,880/275,882,176 = 275,882,176/x
  3. Step 3: Cross multiply
    127,186,880x = 275,882,176 × 275,882,176
  4. Step 4: Simplify right side
    127,186,880x = 76,110,975,034,494,976
  5. Step 5: Solve for x
    x = 76,110,975,034,494,976/127,186,880
  6. Step 6: Final answer
    x = 598,418,445.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.