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Finding the Third Proportional to 37,968,736 and 78,629,192

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Solution

The third proportional to 37,968,736 and 78,629,192 is: 162,832,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,968,736 : 78,629,192 = 78,629,192 : x
  2. Step 2: Convert to fraction form
    37,968,736/78,629,192 = 78,629,192/x
  3. Step 3: Cross multiply
    37,968,736x = 78,629,192 × 78,629,192
  4. Step 4: Simplify right side
    37,968,736x = 6,182,549,834,572,864
  5. Step 5: Solve for x
    x = 6,182,549,834,572,864/37,968,736
  6. Step 6: Final answer
    x = 162,832,648.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.