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Finding the Third Proportional to 4,848,391.69 and 7,230,543.47

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Solution

The third proportional to 4,848,391.69 and 7,230,543.47 is: 10,783,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848,391.69 : 7,230,543.47 = 7,230,543.47 : x
  2. Step 2: Convert to fraction form
    4,848,391.69/7,230,543.47 = 7,230,543.47/x
  3. Step 3: Cross multiply
    4,848,391.69x = 7,230,543.47 × 7,230,543.47
  4. Step 4: Simplify right side
    4,848,391.69x = 52,280,758,853,483.28
  5. Step 5: Solve for x
    x = 52,280,758,853,483.28/4,848,391.69
  6. Step 6: Final answer
    x = 10,783,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.