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Finding the Third Proportional to 275,757,696 and 419,366,160

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Solution

The third proportional to 275,757,696 and 419,366,160 is: 637,762,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,757,696 : 419,366,160 = 419,366,160 : x
  2. Step 2: Convert to fraction form
    275,757,696/419,366,160 = 419,366,160/x
  3. Step 3: Cross multiply
    275,757,696x = 419,366,160 × 419,366,160
  4. Step 4: Simplify right side
    275,757,696x = 175,867,976,153,145,600
  5. Step 5: Solve for x
    x = 175,867,976,153,145,600/275,757,696
  6. Step 6: Final answer
    x = 637,762,712.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.