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Finding the Third Proportional to 12,206,692 and 18,884,013

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Solution

The third proportional to 12,206,692 and 18,884,013 is: 29,213,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206,692 : 18,884,013 = 18,884,013 : x
  2. Step 2: Convert to fraction form
    12,206,692/18,884,013 = 18,884,013/x
  3. Step 3: Cross multiply
    12,206,692x = 18,884,013 × 18,884,013
  4. Step 4: Simplify right side
    12,206,692x = 356,605,946,984,169
  5. Step 5: Solve for x
    x = 356,605,946,984,169/12,206,692
  6. Step 6: Final answer
    x = 29,213,971.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.