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Finding the Third Proportional to 31,378,725 and 67,969,179

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Solution

The third proportional to 31,378,725 and 67,969,179 is: 147,227,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378,725 : 67,969,179 = 67,969,179 : x
  2. Step 2: Convert to fraction form
    31,378,725/67,969,179 = 67,969,179/x
  3. Step 3: Cross multiply
    31,378,725x = 67,969,179 × 67,969,179
  4. Step 4: Simplify right side
    31,378,725x = 4,619,809,293,934,041
  5. Step 5: Solve for x
    x = 4,619,809,293,934,041/31,378,725
  6. Step 6: Final answer
    x = 147,227,438.14

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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.