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Finding the Third Proportional to 12,338,564 and 18,435,268

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Solution

The third proportional to 12,338,564 and 18,435,268 is: 27,544,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338,564 : 18,435,268 = 18,435,268 : x
  2. Step 2: Convert to fraction form
    12,338,564/18,435,268 = 18,435,268/x
  3. Step 3: Cross multiply
    12,338,564x = 18,435,268 × 18,435,268
  4. Step 4: Simplify right side
    12,338,564x = 339,859,106,231,824
  5. Step 5: Solve for x
    x = 339,859,106,231,824/12,338,564
  6. Step 6: Final answer
    x = 27,544,461.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.