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Finding the Third Proportional to 1,592,794,329 and 2,214,653,197

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Solution

The third proportional to 1,592,794,329 and 2,214,653,197 is: 3,079,298,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,794,329 : 2,214,653,197 = 2,214,653,197 : x
  2. Step 2: Convert to fraction form
    1,592,794,329/2,214,653,197 = 2,214,653,197/x
  3. Step 3: Cross multiply
    1,592,794,329x = 2,214,653,197 × 2,214,653,197
  4. Step 4: Simplify right side
    1,592,794,329x = 4,904,688,782,982,321,152
  5. Step 5: Solve for x
    x = 4,904,688,782,982,321,152/1,592,794,329
  6. Step 6: Final answer
    x = 3,079,298,245.66

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Why These Related Problems?

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