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Finding the Third Proportional to 12,184,470 and 26,469,729

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Solution

The third proportional to 12,184,470 and 26,469,729 is: 57,503,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184,470 : 26,469,729 = 26,469,729 : x
  2. Step 2: Convert to fraction form
    12,184,470/26,469,729 = 26,469,729/x
  3. Step 3: Cross multiply
    12,184,470x = 26,469,729 × 26,469,729
  4. Step 4: Simplify right side
    12,184,470x = 700,646,553,333,441
  5. Step 5: Solve for x
    x = 700,646,553,333,441/12,184,470
  6. Step 6: Final answer
    x = 57,503,244.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.