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Finding the Third Proportional to 367,394,189,595 and 510,832,254,103.50

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Solution

The third proportional to 367,394,189,595 and 510,832,254,103.50 is: 710,271,417,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394,189,595 : 510,832,254,103.50 = 510,832,254,103.50 : x
  2. Step 2: Convert to fraction form
    367,394,189,595/510,832,254,103.50 = 510,832,254,103.50/x
  3. Step 3: Cross multiply
    367,394,189,595x = 510,832,254,103.50 × 510,832,254,103.50
  4. Step 4: Simplify right side
    367,394,189,595x = 260,949,591,832,462,800,977,920
  5. Step 5: Solve for x
    x = 260,949,591,832,462,800,977,920/367,394,189,595
  6. Step 6: Final answer
    x = 710,271,417,520.57

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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.