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Finding the Third Proportional to 12,197,436 and 16,261,020

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Solution

The third proportional to 12,197,436 and 16,261,020 is: 21,678,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197,436 : 16,261,020 = 16,261,020 : x
  2. Step 2: Convert to fraction form
    12,197,436/16,261,020 = 16,261,020/x
  3. Step 3: Cross multiply
    12,197,436x = 16,261,020 × 16,261,020
  4. Step 4: Simplify right side
    12,197,436x = 264,420,771,440,400
  5. Step 5: Solve for x
    x = 264,420,771,440,400/12,197,436
  6. Step 6: Final answer
    x = 21,678,389.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.