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Finding the Third Proportional to 37,694,265 and 82,063,173

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Solution

The third proportional to 37,694,265 and 82,063,173 is: 178,657,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,694,265 : 82,063,173 = 82,063,173 : x
  2. Step 2: Convert to fraction form
    37,694,265/82,063,173 = 82,063,173/x
  3. Step 3: Cross multiply
    37,694,265x = 82,063,173 × 82,063,173
  4. Step 4: Simplify right side
    37,694,265x = 6,734,364,362,827,929
  5. Step 5: Solve for x
    x = 6,734,364,362,827,929/37,694,265
  6. Step 6: Final answer
    x = 178,657,532.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.