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Finding the Third Proportional to 2,189,059,614 and 3,392,439,690

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Solution

The third proportional to 2,189,059,614 and 3,392,439,690 is: 5,257,347,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,059,614 : 3,392,439,690 = 3,392,439,690 : x
  2. Step 2: Convert to fraction form
    2,189,059,614/3,392,439,690 = 3,392,439,690/x
  3. Step 3: Cross multiply
    2,189,059,614x = 3,392,439,690 × 3,392,439,690
  4. Step 4: Simplify right side
    2,189,059,614x = 11,508,647,050,287,296,512
  5. Step 5: Solve for x
    x = 11,508,647,050,287,296,512/2,189,059,614
  6. Step 6: Final answer
    x = 5,257,347,482.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.