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Finding the Third Proportional to 31,519,648 and 69,017,936

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Solution

The third proportional to 31,519,648 and 69,017,936 is: 151,127,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,519,648 : 69,017,936 = 69,017,936 : x
  2. Step 2: Convert to fraction form
    31,519,648/69,017,936 = 69,017,936/x
  3. Step 3: Cross multiply
    31,519,648x = 69,017,936 × 69,017,936
  4. Step 4: Simplify right side
    31,519,648x = 4,763,475,489,700,096
  5. Step 5: Solve for x
    x = 4,763,475,489,700,096/31,519,648
  6. Step 6: Final answer
    x = 151,127,179.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.