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Finding the Third Proportional to 511,108,164 and 834,505,254

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Solution

The third proportional to 511,108,164 and 834,505,254 is: 1,362,527,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,108,164 : 834,505,254 = 834,505,254 : x
  2. Step 2: Convert to fraction form
    511,108,164/834,505,254 = 834,505,254/x
  3. Step 3: Cross multiply
    511,108,164x = 834,505,254 × 834,505,254
  4. Step 4: Simplify right side
    511,108,164x = 696,399,018,953,604,480
  5. Step 5: Solve for x
    x = 696,399,018,953,604,480/511,108,164
  6. Step 6: Final answer
    x = 1,362,527,676.14

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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.