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Finding the Third Proportional to 14,679,144 and 30,696,732

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Solution

The third proportional to 14,679,144 and 30,696,732 is: 64,192,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679,144 : 30,696,732 = 30,696,732 : x
  2. Step 2: Convert to fraction form
    14,679,144/30,696,732 = 30,696,732/x
  3. Step 3: Cross multiply
    14,679,144x = 30,696,732 × 30,696,732
  4. Step 4: Simplify right side
    14,679,144x = 942,289,355,479,824
  5. Step 5: Solve for x
    x = 942,289,355,479,824/14,679,144
  6. Step 6: Final answer
    x = 64,192,391.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.