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Finding the Third Proportional to 272,850,966 and 419,395,934

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Solution

The third proportional to 272,850,966 and 419,395,934 is: 644,648,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,850,966 : 419,395,934 = 419,395,934 : x
  2. Step 2: Convert to fraction form
    272,850,966/419,395,934 = 419,395,934/x
  3. Step 3: Cross multiply
    272,850,966x = 419,395,934 × 419,395,934
  4. Step 4: Simplify right side
    272,850,966x = 175,892,949,455,732,352
  5. Step 5: Solve for x
    x = 175,892,949,455,732,352/272,850,966
  6. Step 6: Final answer
    x = 644,648,439.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.