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Finding the Third Proportional to 12,768,247.50 and 17,916,380.25

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Solution

The third proportional to 12,768,247.50 and 17,916,380.25 is: 25,140,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768,247.50 : 17,916,380.25 = 17,916,380.25 : x
  2. Step 2: Convert to fraction form
    12,768,247.50/17,916,380.25 = 17,916,380.25/x
  3. Step 3: Cross multiply
    12,768,247.50x = 17,916,380.25 × 17,916,380.25
  4. Step 4: Simplify right side
    12,768,247.50x = 320,996,681,262,590.06
  5. Step 5: Solve for x
    x = 320,996,681,262,590.06/12,768,247.50
  6. Step 6: Final answer
    x = 25,140,230.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.