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Finding the Third Proportional to 32,523,201 and 47,561,175

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Solution

The third proportional to 32,523,201 and 47,561,175 is: 69,552,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523,201 : 47,561,175 = 47,561,175 : x
  2. Step 2: Convert to fraction form
    32,523,201/47,561,175 = 47,561,175/x
  3. Step 3: Cross multiply
    32,523,201x = 47,561,175 × 47,561,175
  4. Step 4: Simplify right side
    32,523,201x = 2,262,065,367,380,625
  5. Step 5: Solve for x
    x = 2,262,065,367,380,625/32,523,201
  6. Step 6: Final answer
    x = 69,552,359.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.