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Finding the Third Proportional to 12,214,560 and 26,533,824

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Solution

The third proportional to 12,214,560 and 26,533,824 is: 57,639,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214,560 : 26,533,824 = 26,533,824 : x
  2. Step 2: Convert to fraction form
    12,214,560/26,533,824 = 26,533,824/x
  3. Step 3: Cross multiply
    12,214,560x = 26,533,824 × 26,533,824
  4. Step 4: Simplify right side
    12,214,560x = 704,043,816,062,976
  5. Step 5: Solve for x
    x = 704,043,816,062,976/12,214,560
  6. Step 6: Final answer
    x = 57,639,719.81

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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.