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Finding the Third Proportional to 540,426,309.75 and 1,095,890,613.75

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Solution

The third proportional to 540,426,309.75 and 1,095,890,613.75 is: 2,222,275,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,426,309.75 : 1,095,890,613.75 = 1,095,890,613.75 : x
  2. Step 2: Convert to fraction form
    540,426,309.75/1,095,890,613.75 = 1,095,890,613.75/x
  3. Step 3: Cross multiply
    540,426,309.75x = 1,095,890,613.75 × 1,095,890,613.75
  4. Step 4: Simplify right side
    540,426,309.75x = 1,200,976,237,305,351,680
  5. Step 5: Solve for x
    x = 1,200,976,237,305,351,680/540,426,309.75
  6. Step 6: Final answer
    x = 2,222,275,665.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.