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Finding the Third Proportional to 31,665,642 and 69,161,340

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Solution

The third proportional to 31,665,642 and 69,161,340 is: 151,056,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665,642 : 69,161,340 = 69,161,340 : x
  2. Step 2: Convert to fraction form
    31,665,642/69,161,340 = 69,161,340/x
  3. Step 3: Cross multiply
    31,665,642x = 69,161,340 × 69,161,340
  4. Step 4: Simplify right side
    31,665,642x = 4,783,290,950,595,600
  5. Step 5: Solve for x
    x = 4,783,290,950,595,600/31,665,642
  6. Step 6: Final answer
    x = 151,056,181.04

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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.