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Finding the Third Proportional to 367,893,120 and 511,520,832

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Solution

The third proportional to 367,893,120 and 511,520,832 is: 711,221,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,893,120 : 511,520,832 = 511,520,832 : x
  2. Step 2: Convert to fraction form
    367,893,120/511,520,832 = 511,520,832/x
  3. Step 3: Cross multiply
    367,893,120x = 511,520,832 × 511,520,832
  4. Step 4: Simplify right side
    367,893,120x = 261,653,561,569,972,224
  5. Step 5: Solve for x
    x = 261,653,561,569,972,224/367,893,120
  6. Step 6: Final answer
    x = 711,221,676.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.