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Finding the Third Proportional to 211,639,122 and 431,780,976

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Solution

The third proportional to 211,639,122 and 431,780,976 is: 880,909,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,639,122 : 431,780,976 = 431,780,976 : x
  2. Step 2: Convert to fraction form
    211,639,122/431,780,976 = 431,780,976/x
  3. Step 3: Cross multiply
    211,639,122x = 431,780,976 × 431,780,976
  4. Step 4: Simplify right side
    211,639,122x = 186,434,811,235,512,576
  5. Step 5: Solve for x
    x = 186,434,811,235,512,576/211,639,122
  6. Step 6: Final answer
    x = 880,909,018.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.