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Finding the Third Proportional to 34,728,144 and 75,434,736

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Solution

The third proportional to 34,728,144 and 75,434,736 is: 163,855,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728,144 : 75,434,736 = 75,434,736 : x
  2. Step 2: Convert to fraction form
    34,728,144/75,434,736 = 75,434,736/x
  3. Step 3: Cross multiply
    34,728,144x = 75,434,736 × 75,434,736
  4. Step 4: Simplify right side
    34,728,144x = 5,690,399,395,389,696
  5. Step 5: Solve for x
    x = 5,690,399,395,389,696/34,728,144
  6. Step 6: Final answer
    x = 163,855,557.48

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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.