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Finding the Third Proportional to 32,523,867 and 47,886,525

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Solution

The third proportional to 32,523,867 and 47,886,525 is: 70,505,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523,867 : 47,886,525 = 47,886,525 : x
  2. Step 2: Convert to fraction form
    32,523,867/47,886,525 = 47,886,525/x
  3. Step 3: Cross multiply
    32,523,867x = 47,886,525 × 47,886,525
  4. Step 4: Simplify right side
    32,523,867x = 2,293,119,276,575,625
  5. Step 5: Solve for x
    x = 2,293,119,276,575,625/32,523,867
  6. Step 6: Final answer
    x = 70,505,738.96

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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.