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Finding the Third Proportional to 511,108,176 and 834,505,272

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Solution

The third proportional to 511,108,176 and 834,505,272 is: 1,362,527,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,108,176 : 834,505,272 = 834,505,272 : x
  2. Step 2: Convert to fraction form
    511,108,176/834,505,272 = 834,505,272/x
  3. Step 3: Cross multiply
    511,108,176x = 834,505,272 × 834,505,272
  4. Step 4: Simplify right side
    511,108,176x = 696,399,048,995,793,920
  5. Step 5: Solve for x
    x = 696,399,048,995,793,920/511,108,176
  6. Step 6: Final answer
    x = 1,362,527,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.