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Finding the Third Proportional to 7,141,147.31 and 16,854,768.56

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Solution

The third proportional to 7,141,147.31 and 16,854,768.56 is: 39,781,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141,147.31 : 16,854,768.56 = 16,854,768.56 : x
  2. Step 2: Convert to fraction form
    7,141,147.31/16,854,768.56 = 16,854,768.56/x
  3. Step 3: Cross multiply
    7,141,147.31x = 16,854,768.56 × 16,854,768.56
  4. Step 4: Simplify right side
    7,141,147.31x = 284,083,223,295,438.31
  5. Step 5: Solve for x
    x = 284,083,223,295,438.31/7,141,147.31
  6. Step 6: Final answer
    x = 39,781,173.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.