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Finding the Third Proportional to 817,693,194.38 and 1,783,380,251.81

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Solution

The third proportional to 817,693,194.38 and 1,783,380,251.81 is: 3,889,533,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,693,194.38 : 1,783,380,251.81 = 1,783,380,251.81 : x
  2. Step 2: Convert to fraction form
    817,693,194.38/1,783,380,251.81 = 1,783,380,251.81/x
  3. Step 3: Cross multiply
    817,693,194.38x = 1,783,380,251.81 × 1,783,380,251.81
  4. Step 4: Simplify right side
    817,693,194.38x = 3,180,445,122,554,816,000
  5. Step 5: Solve for x
    x = 3,180,445,122,554,816,000/817,693,194.38
  6. Step 6: Final answer
    x = 3,889,533,561.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.