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Finding the Third Proportional to 10,238,253.75 and 14,400,825.75

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Solution

The third proportional to 10,238,253.75 and 14,400,825.75 is: 20,255,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238,253.75 : 14,400,825.75 = 14,400,825.75 : x
  2. Step 2: Convert to fraction form
    10,238,253.75/14,400,825.75 = 14,400,825.75/x
  3. Step 3: Cross multiply
    10,238,253.75x = 14,400,825.75 × 14,400,825.75
  4. Step 4: Simplify right side
    10,238,253.75x = 207,383,782,281,863.06
  5. Step 5: Solve for x
    x = 207,383,782,281,863.06/10,238,253.75
  6. Step 6: Final answer
    x = 20,255,776.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.