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Finding the Third Proportional to 4,413,858.75 and 6,749,092.13

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Solution

The third proportional to 4,413,858.75 and 6,749,092.13 is: 10,319,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413,858.75 : 6,749,092.13 = 6,749,092.13 : x
  2. Step 2: Convert to fraction form
    4,413,858.75/6,749,092.13 = 6,749,092.13/x
  3. Step 3: Cross multiply
    4,413,858.75x = 6,749,092.13 × 6,749,092.13
  4. Step 4: Simplify right side
    4,413,858.75x = 45,550,244,511,737.02
  5. Step 5: Solve for x
    x = 45,550,244,511,737.02/4,413,858.75
  6. Step 6: Final answer
    x = 10,319,823.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.