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Finding the Third Proportional to 10,749,381.75 and 23,388,261.75

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Solution

The third proportional to 10,749,381.75 and 23,388,261.75 is: 50,887,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749,381.75 : 23,388,261.75 = 23,388,261.75 : x
  2. Step 2: Convert to fraction form
    10,749,381.75/23,388,261.75 = 23,388,261.75/x
  3. Step 3: Cross multiply
    10,749,381.75x = 23,388,261.75 × 23,388,261.75
  4. Step 4: Simplify right side
    10,749,381.75x = 547,010,787,686,513.06
  5. Step 5: Solve for x
    x = 547,010,787,686,513.06/10,749,381.75
  6. Step 6: Final answer
    x = 50,887,651.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.