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Finding the Third Proportional to 180,236,396 and 370,027,667

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Solution

The third proportional to 180,236,396 and 370,027,667 is: 759,671,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236,396 : 370,027,667 = 370,027,667 : x
  2. Step 2: Convert to fraction form
    180,236,396/370,027,667 = 370,027,667/x
  3. Step 3: Cross multiply
    180,236,396x = 370,027,667 × 370,027,667
  4. Step 4: Simplify right side
    180,236,396x = 136,920,474,345,462,896
  5. Step 5: Solve for x
    x = 136,920,474,345,462,896/180,236,396
  6. Step 6: Final answer
    x = 759,671,616.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.