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Finding the Third Proportional to 233,647,576 and 498,567,672

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Solution

The third proportional to 233,647,576 and 498,567,672 is: 1,063,866,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,576 : 498,567,672 = 498,567,672 : x
  2. Step 2: Convert to fraction form
    233,647,576/498,567,672 = 498,567,672/x
  3. Step 3: Cross multiply
    233,647,576x = 498,567,672 × 498,567,672
  4. Step 4: Simplify right side
    233,647,576x = 248,569,723,563,499,584
  5. Step 5: Solve for x
    x = 248,569,723,563,499,584/233,647,576
  6. Step 6: Final answer
    x = 1,063,866,049.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.