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Finding the Third Proportional to 14,356,144 and 21,544,715

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Solution

The third proportional to 14,356,144 and 21,544,715 is: 32,332,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356,144 : 21,544,715 = 21,544,715 : x
  2. Step 2: Convert to fraction form
    14,356,144/21,544,715 = 21,544,715/x
  3. Step 3: Cross multiply
    14,356,144x = 21,544,715 × 21,544,715
  4. Step 4: Simplify right side
    14,356,144x = 464,174,744,431,225
  5. Step 5: Solve for x
    x = 464,174,744,431,225/14,356,144
  6. Step 6: Final answer
    x = 32,332,828.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.