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Finding the Third Proportional to 12,197,438 and 16,261,023

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Solution

The third proportional to 12,197,438 and 16,261,023 is: 21,678,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197,438 : 16,261,023 = 16,261,023 : x
  2. Step 2: Convert to fraction form
    12,197,438/16,261,023 = 16,261,023/x
  3. Step 3: Cross multiply
    12,197,438x = 16,261,023 × 16,261,023
  4. Step 4: Simplify right side
    12,197,438x = 264,420,869,006,529
  5. Step 5: Solve for x
    x = 264,420,869,006,529/12,197,438
  6. Step 6: Final answer
    x = 21,678,394.18

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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.