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Finding the Third Proportional to 311,704,972 and 677,665,424

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Solution

The third proportional to 311,704,972 and 677,665,424 is: 1,473,285,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,704,972 : 677,665,424 = 677,665,424 : x
  2. Step 2: Convert to fraction form
    311,704,972/677,665,424 = 677,665,424/x
  3. Step 3: Cross multiply
    311,704,972x = 677,665,424 × 677,665,424
  4. Step 4: Simplify right side
    311,704,972x = 459,230,426,885,099,776
  5. Step 5: Solve for x
    x = 459,230,426,885,099,776/311,704,972
  6. Step 6: Final answer
    x = 1,473,285,536.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.