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Finding the Third Proportional to 5,229,257.50 and 11,326,841

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Solution

The third proportional to 5,229,257.50 and 11,326,841 is: 24,534,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,257.50 : 11,326,841 = 11,326,841 : x
  2. Step 2: Convert to fraction form
    5,229,257.50/11,326,841 = 11,326,841/x
  3. Step 3: Cross multiply
    5,229,257.50x = 11,326,841 × 11,326,841
  4. Step 4: Simplify right side
    5,229,257.50x = 128,297,327,039,281
  5. Step 5: Solve for x
    x = 128,297,327,039,281/5,229,257.50
  6. Step 6: Final answer
    x = 24,534,520.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.