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Finding the Third Proportional to 13,031,406 and 17,136,549

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Solution

The third proportional to 13,031,406 and 17,136,549 is: 22,534,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031,406 : 17,136,549 = 17,136,549 : x
  2. Step 2: Convert to fraction form
    13,031,406/17,136,549 = 17,136,549/x
  3. Step 3: Cross multiply
    13,031,406x = 17,136,549 × 17,136,549
  4. Step 4: Simplify right side
    13,031,406x = 293,661,311,629,401
  5. Step 5: Solve for x
    x = 293,661,311,629,401/13,031,406
  6. Step 6: Final answer
    x = 22,534,890.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.