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Finding the Third Proportional to 30,424,198.50 and 71,747,491.50

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Solution

The third proportional to 30,424,198.50 and 71,747,491.50 is: 169,197,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424,198.50 : 71,747,491.50 = 71,747,491.50 : x
  2. Step 2: Convert to fraction form
    30,424,198.50/71,747,491.50 = 71,747,491.50/x
  3. Step 3: Cross multiply
    30,424,198.50x = 71,747,491.50 × 71,747,491.50
  4. Step 4: Simplify right side
    30,424,198.50x = 5,147,702,536,542,572
  5. Step 5: Solve for x
    x = 5,147,702,536,542,572/30,424,198.50
  6. Step 6: Final answer
    x = 169,197,638.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.