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Finding the Third Proportional to 4,027,057,240 and 8,168,941,028

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Solution

The third proportional to 4,027,057,240 and 8,168,941,028 is: 16,570,809,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,057,240 : 8,168,941,028 = 8,168,941,028 : x
  2. Step 2: Convert to fraction form
    4,027,057,240/8,168,941,028 = 8,168,941,028/x
  3. Step 3: Cross multiply
    4,027,057,240x = 8,168,941,028 × 8,168,941,028
  4. Step 4: Simplify right side
    4,027,057,240x = 66,731,597,518,941,700,096
  5. Step 5: Solve for x
    x = 66,731,597,518,941,700,096/4,027,057,240
  6. Step 6: Final answer
    x = 16,570,809,288.76

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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.