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Finding the Third Proportional to 13,309,284 and 27,247,938

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Solution

The third proportional to 13,309,284 and 27,247,938 is: 55,784,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309,284 : 27,247,938 = 27,247,938 : x
  2. Step 2: Convert to fraction form
    13,309,284/27,247,938 = 27,247,938/x
  3. Step 3: Cross multiply
    13,309,284x = 27,247,938 × 27,247,938
  4. Step 4: Simplify right side
    13,309,284x = 742,450,125,251,844
  5. Step 5: Solve for x
    x = 742,450,125,251,844/13,309,284
  6. Step 6: Final answer
    x = 55,784,377.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.