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Finding the Third Proportional to 4,166,375,575.50 and 6,347,239,218

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Solution

The third proportional to 4,166,375,575.50 and 6,347,239,218 is: 9,669,662,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,375,575.50 : 6,347,239,218 = 6,347,239,218 : x
  2. Step 2: Convert to fraction form
    4,166,375,575.50/6,347,239,218 = 6,347,239,218/x
  3. Step 3: Cross multiply
    4,166,375,575.50x = 6,347,239,218 × 6,347,239,218
  4. Step 4: Simplify right side
    4,166,375,575.50x = 40,287,445,690,517,250,048
  5. Step 5: Solve for x
    x = 40,287,445,690,517,250,048/4,166,375,575.50
  6. Step 6: Final answer
    x = 9,669,662,506.53

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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.