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Finding the Third Proportional to 72,633,524 and 156,741,322

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Solution

The third proportional to 72,633,524 and 156,741,322 is: 338,243,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633,524 : 156,741,322 = 156,741,322 : x
  2. Step 2: Convert to fraction form
    72,633,524/156,741,322 = 156,741,322/x
  3. Step 3: Cross multiply
    72,633,524x = 156,741,322 × 156,741,322
  4. Step 4: Simplify right side
    72,633,524x = 24,567,842,022,307,684
  5. Step 5: Solve for x
    x = 24,567,842,022,307,684/72,633,524
  6. Step 6: Final answer
    x = 338,243,839.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.