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Finding the Third Proportional to 12,283,529 and 19,267,569

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Solution

The third proportional to 12,283,529 and 19,267,569 is: 30,222,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283,529 : 19,267,569 = 19,267,569 : x
  2. Step 2: Convert to fraction form
    12,283,529/19,267,569 = 19,267,569/x
  3. Step 3: Cross multiply
    12,283,529x = 19,267,569 × 19,267,569
  4. Step 4: Simplify right side
    12,283,529x = 371,239,215,169,761
  5. Step 5: Solve for x
    x = 371,239,215,169,761/12,283,529
  6. Step 6: Final answer
    x = 30,222,521.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.