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Finding the Third Proportional to 13,226,017.50 and 20,231,714.25

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Solution

The third proportional to 13,226,017.50 and 20,231,714.25 is: 30,948,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226,017.50 : 20,231,714.25 = 20,231,714.25 : x
  2. Step 2: Convert to fraction form
    13,226,017.50/20,231,714.25 = 20,231,714.25/x
  3. Step 3: Cross multiply
    13,226,017.50x = 20,231,714.25 × 20,231,714.25
  4. Step 4: Simplify right side
    13,226,017.50x = 409,322,261,493,653.06
  5. Step 5: Solve for x
    x = 409,322,261,493,653.06/13,226,017.50
  6. Step 6: Final answer
    x = 30,948,262.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.