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Finding the Third Proportional to 362,278,732 and 795,728,600

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Solution

The third proportional to 362,278,732 and 795,728,600 is: 1,747,781,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,278,732 : 795,728,600 = 795,728,600 : x
  2. Step 2: Convert to fraction form
    362,278,732/795,728,600 = 795,728,600/x
  3. Step 3: Cross multiply
    362,278,732x = 795,728,600 × 795,728,600
  4. Step 4: Simplify right side
    362,278,732x = 633,184,004,857,959,936
  5. Step 5: Solve for x
    x = 633,184,004,857,959,936/362,278,732
  6. Step 6: Final answer
    x = 1,747,781,332.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.