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Finding the Third Proportional to 30,827,371.50 and 67,147,029

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Solution

The third proportional to 30,827,371.50 and 67,147,029 is: 146,257,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827,371.50 : 67,147,029 = 67,147,029 : x
  2. Step 2: Convert to fraction form
    30,827,371.50/67,147,029 = 67,147,029/x
  3. Step 3: Cross multiply
    30,827,371.50x = 67,147,029 × 67,147,029
  4. Step 4: Simplify right side
    30,827,371.50x = 4,508,723,503,526,841
  5. Step 5: Solve for x
    x = 4,508,723,503,526,841/30,827,371.50
  6. Step 6: Final answer
    x = 146,257,150.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.