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Finding the Third Proportional to 37,629,732 and 79,781,100

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Solution

The third proportional to 37,629,732 and 79,781,100 is: 169,148,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,629,732 : 79,781,100 = 79,781,100 : x
  2. Step 2: Convert to fraction form
    37,629,732/79,781,100 = 79,781,100/x
  3. Step 3: Cross multiply
    37,629,732x = 79,781,100 × 79,781,100
  4. Step 4: Simplify right side
    37,629,732x = 6,365,023,917,210,000
  5. Step 5: Solve for x
    x = 6,365,023,917,210,000/37,629,732
  6. Step 6: Final answer
    x = 169,148,797.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.