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Finding the Third Proportional to 367,394,188,829.62 and 510,832,252,728

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Solution

The third proportional to 367,394,188,829.62 and 510,832,252,728 is: 710,271,415,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394,188,829.62 : 510,832,252,728 = 510,832,252,728 : x
  2. Step 2: Convert to fraction form
    367,394,188,829.62/510,832,252,728 = 510,832,252,728/x
  3. Step 3: Cross multiply
    367,394,188,829.62x = 510,832,252,728 × 510,832,252,728
  4. Step 4: Simplify right side
    367,394,188,829.62x = 260,949,590,427,163,259,043,840
  5. Step 5: Solve for x
    x = 260,949,590,427,163,259,043,840/367,394,188,829.62
  6. Step 6: Final answer
    x = 710,271,415,175.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.