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Finding the Third Proportional to 5,498,234 and 12,078,214

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Solution

The third proportional to 5,498,234 and 12,078,214 is: 26,532,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498,234 : 12,078,214 = 12,078,214 : x
  2. Step 2: Convert to fraction form
    5,498,234/12,078,214 = 12,078,214/x
  3. Step 3: Cross multiply
    5,498,234x = 12,078,214 × 12,078,214
  4. Step 4: Simplify right side
    5,498,234x = 145,883,253,429,796
  5. Step 5: Solve for x
    x = 145,883,253,429,796/5,498,234
  6. Step 6: Final answer
    x = 26,532,747.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.