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Finding the Third Proportional to 6,548,534 and 13,775,744

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Solution

The third proportional to 6,548,534 and 13,775,744 is: 28,979,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548,534 : 13,775,744 = 13,775,744 : x
  2. Step 2: Convert to fraction form
    6,548,534/13,775,744 = 13,775,744/x
  3. Step 3: Cross multiply
    6,548,534x = 13,775,744 × 13,775,744
  4. Step 4: Simplify right side
    6,548,534x = 189,771,122,753,536
  5. Step 5: Solve for x
    x = 189,771,122,753,536/6,548,534
  6. Step 6: Final answer
    x = 28,979,176.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.