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Finding the Third Proportional to 12,816,640 and 19,227,512

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Solution

The third proportional to 12,816,640 and 19,227,512 is: 28,845,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816,640 : 19,227,512 = 19,227,512 : x
  2. Step 2: Convert to fraction form
    12,816,640/19,227,512 = 19,227,512/x
  3. Step 3: Cross multiply
    12,816,640x = 19,227,512 × 19,227,512
  4. Step 4: Simplify right side
    12,816,640x = 369,697,217,710,144
  5. Step 5: Solve for x
    x = 369,697,217,710,144/12,816,640
  6. Step 6: Final answer
    x = 28,845,096.51

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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.