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Finding the Third Proportional to 4,509,992.67 and 9,834,027.75

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Solution

The third proportional to 4,509,992.67 and 9,834,027.75 is: 21,443,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509,992.67 : 9,834,027.75 = 9,834,027.75 : x
  2. Step 2: Convert to fraction form
    4,509,992.67/9,834,027.75 = 9,834,027.75/x
  3. Step 3: Cross multiply
    4,509,992.67x = 9,834,027.75 × 9,834,027.75
  4. Step 4: Simplify right side
    4,509,992.67x = 96,708,101,787,770.06
  5. Step 5: Solve for x
    x = 96,708,101,787,770.06/4,509,992.67
  6. Step 6: Final answer
    x = 21,443,072.93

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Why These Related Problems?

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