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Finding the Third Proportional to 30,424,167 and 71,747,412.75

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Solution

The third proportional to 30,424,167 and 71,747,412.75 is: 169,197,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424,167 : 71,747,412.75 = 71,747,412.75 : x
  2. Step 2: Convert to fraction form
    30,424,167/71,747,412.75 = 71,747,412.75/x
  3. Step 3: Cross multiply
    30,424,167x = 71,747,412.75 × 71,747,412.75
  4. Step 4: Simplify right side
    30,424,167x = 5,147,691,236,318,863
  5. Step 5: Solve for x
    x = 5,147,691,236,318,863/30,424,167
  6. Step 6: Final answer
    x = 169,197,442.16

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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.