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Finding the Third Proportional to 12,857,190.75 and 17,461,450.13

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Solution

The third proportional to 12,857,190.75 and 17,461,450.13 is: 23,714,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857,190.75 : 17,461,450.13 = 17,461,450.13 : x
  2. Step 2: Convert to fraction form
    12,857,190.75/17,461,450.13 = 17,461,450.13/x
  3. Step 3: Cross multiply
    12,857,190.75x = 17,461,450.13 × 17,461,450.13
  4. Step 4: Simplify right side
    12,857,190.75x = 304,902,240,467,862.50
  5. Step 5: Solve for x
    x = 304,902,240,467,862.50/12,857,190.75
  6. Step 6: Final answer
    x = 23,714,530.37

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.