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Finding the Third Proportional to 6,354,914 and 13,619,548

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Solution

The third proportional to 6,354,914 and 13,619,548 is: 29,188,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354,914 : 13,619,548 = 13,619,548 : x
  2. Step 2: Convert to fraction form
    6,354,914/13,619,548 = 13,619,548/x
  3. Step 3: Cross multiply
    6,354,914x = 13,619,548 × 13,619,548
  4. Step 4: Simplify right side
    6,354,914x = 185,492,087,724,304
  5. Step 5: Solve for x
    x = 185,492,087,724,304/6,354,914
  6. Step 6: Final answer
    x = 29,188,764.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.