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Finding the Third Proportional to 368,211,180 and 793,809,240

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Solution

The third proportional to 368,211,180 and 793,809,240 is: 1,711,336,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,211,180 : 793,809,240 = 793,809,240 : x
  2. Step 2: Convert to fraction form
    368,211,180/793,809,240 = 793,809,240/x
  3. Step 3: Cross multiply
    368,211,180x = 793,809,240 × 793,809,240
  4. Step 4: Simplify right side
    368,211,180x = 630,133,109,509,377,536
  5. Step 5: Solve for x
    x = 630,133,109,509,377,536/368,211,180
  6. Step 6: Final answer
    x = 1,711,336,167.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.