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Finding the Third Proportional to 37,629,786 and 79,781,208

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Solution

The third proportional to 37,629,786 and 79,781,208 is: 169,149,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,629,786 : 79,781,208 = 79,781,208 : x
  2. Step 2: Convert to fraction form
    37,629,786/79,781,208 = 79,781,208/x
  3. Step 3: Cross multiply
    37,629,786x = 79,781,208 × 79,781,208
  4. Step 4: Simplify right side
    37,629,786x = 6,365,041,149,939,264
  5. Step 5: Solve for x
    x = 6,365,041,149,939,264/37,629,786
  6. Step 6: Final answer
    x = 169,149,012.70

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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.