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Finding the Third Proportional to 1,347,418,530 and 2,932,100,761.50

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Solution

The third proportional to 1,347,418,530 and 2,932,100,761.50 is: 6,380,508,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,418,530 : 2,932,100,761.50 = 2,932,100,761.50 : x
  2. Step 2: Convert to fraction form
    1,347,418,530/2,932,100,761.50 = 2,932,100,761.50/x
  3. Step 3: Cross multiply
    1,347,418,530x = 2,932,100,761.50 × 2,932,100,761.50
  4. Step 4: Simplify right side
    1,347,418,530x = 8,597,214,875,588,880,384
  5. Step 5: Solve for x
    x = 8,597,214,875,588,880,384/1,347,418,530
  6. Step 6: Final answer
    x = 6,380,508,122.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.