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Finding the Third Proportional to 12,274,599 and 18,411,894

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Solution

The third proportional to 12,274,599 and 18,411,894 is: 27,617,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274,599 : 18,411,894 = 18,411,894 : x
  2. Step 2: Convert to fraction form
    12,274,599/18,411,894 = 18,411,894/x
  3. Step 3: Cross multiply
    12,274,599x = 18,411,894 × 18,411,894
  4. Step 4: Simplify right side
    12,274,599x = 338,997,840,667,236
  5. Step 5: Solve for x
    x = 338,997,840,667,236/12,274,599
  6. Step 6: Final answer
    x = 27,617,834.25

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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.