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Finding the Third Proportional to 32,976,692 and 48,505,425

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Solution

The third proportional to 32,976,692 and 48,505,425 is: 71,346,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976,692 : 48,505,425 = 48,505,425 : x
  2. Step 2: Convert to fraction form
    32,976,692/48,505,425 = 48,505,425/x
  3. Step 3: Cross multiply
    32,976,692x = 48,505,425 × 48,505,425
  4. Step 4: Simplify right side
    32,976,692x = 2,352,776,254,430,625
  5. Step 5: Solve for x
    x = 2,352,776,254,430,625/32,976,692
  6. Step 6: Final answer
    x = 71,346,642.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.