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Finding the Third Proportional to 9,590,464.50 and 14,625,067.50

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Solution

The third proportional to 9,590,464.50 and 14,625,067.50 is: 22,302,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,464.50 : 14,625,067.50 = 14,625,067.50 : x
  2. Step 2: Convert to fraction form
    9,590,464.50/14,625,067.50 = 14,625,067.50/x
  3. Step 3: Cross multiply
    9,590,464.50x = 14,625,067.50 × 14,625,067.50
  4. Step 4: Simplify right side
    9,590,464.50x = 213,892,599,379,556.25
  5. Step 5: Solve for x
    x = 213,892,599,379,556.25/9,590,464.50
  6. Step 6: Final answer
    x = 22,302,631.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.