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Finding the Third Proportional to 31,365,171 and 67,943,094

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Solution

The third proportional to 31,365,171 and 67,943,094 is: 147,178,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365,171 : 67,943,094 = 67,943,094 : x
  2. Step 2: Convert to fraction form
    31,365,171/67,943,094 = 67,943,094/x
  3. Step 3: Cross multiply
    31,365,171x = 67,943,094 × 67,943,094
  4. Step 4: Simplify right side
    31,365,171x = 4,616,264,022,292,836
  5. Step 5: Solve for x
    x = 4,616,264,022,292,836/31,365,171
  6. Step 6: Final answer
    x = 147,178,028.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.