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Finding the Third Proportional to 9,654,144 and 14,314,152

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Solution

The third proportional to 9,654,144 and 14,314,152 is: 21,223,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654,144 : 14,314,152 = 14,314,152 : x
  2. Step 2: Convert to fraction form
    9,654,144/14,314,152 = 14,314,152/x
  3. Step 3: Cross multiply
    9,654,144x = 14,314,152 × 14,314,152
  4. Step 4: Simplify right side
    9,654,144x = 204,894,947,479,104
  5. Step 5: Solve for x
    x = 204,894,947,479,104/9,654,144
  6. Step 6: Final answer
    x = 21,223,523.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.