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Finding the Third Proportional to 5,645,394 and 13,324,653

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Solution

The third proportional to 5,645,394 and 13,324,653 is: 31,449,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645,394 : 13,324,653 = 13,324,653 : x
  2. Step 2: Convert to fraction form
    5,645,394/13,324,653 = 13,324,653/x
  3. Step 3: Cross multiply
    5,645,394x = 13,324,653 × 13,324,653
  4. Step 4: Simplify right side
    5,645,394x = 177,546,377,570,409
  5. Step 5: Solve for x
    x = 177,546,377,570,409/5,645,394
  6. Step 6: Final answer
    x = 31,449,776.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.