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Finding the Third Proportional to 4,609,627.89 and 9,957,829.61

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Solution

The third proportional to 4,609,627.89 and 9,957,829.61 is: 21,511,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609,627.89 : 9,957,829.61 = 9,957,829.61 : x
  2. Step 2: Convert to fraction form
    4,609,627.89/9,957,829.61 = 9,957,829.61/x
  3. Step 3: Cross multiply
    4,609,627.89x = 9,957,829.61 × 9,957,829.61
  4. Step 4: Simplify right side
    4,609,627.89x = 99,158,370,451,546.92
  5. Step 5: Solve for x
    x = 99,158,370,451,546.92/4,609,627.89
  6. Step 6: Final answer
    x = 21,511,144.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.