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Finding the Third Proportional to 31,410,290 and 66,442,144

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Solution

The third proportional to 31,410,290 and 66,442,144 is: 140,544,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410,290 : 66,442,144 = 66,442,144 : x
  2. Step 2: Convert to fraction form
    31,410,290/66,442,144 = 66,442,144/x
  3. Step 3: Cross multiply
    31,410,290x = 66,442,144 × 66,442,144
  4. Step 4: Simplify right side
    31,410,290x = 4,414,558,499,316,736
  5. Step 5: Solve for x
    x = 4,414,558,499,316,736/31,410,290
  6. Step 6: Final answer
    x = 140,544,977.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.