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Finding the Third Proportional to 4,923,771.75 and 7,911,092.25

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Solution

The third proportional to 4,923,771.75 and 7,911,092.25 is: 12,710,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923,771.75 : 7,911,092.25 = 7,911,092.25 : x
  2. Step 2: Convert to fraction form
    4,923,771.75/7,911,092.25 = 7,911,092.25/x
  3. Step 3: Cross multiply
    4,923,771.75x = 7,911,092.25 × 7,911,092.25
  4. Step 4: Simplify right side
    4,923,771.75x = 62,585,380,588,010.06
  5. Step 5: Solve for x
    x = 62,585,380,588,010.06/4,923,771.75
  6. Step 6: Final answer
    x = 12,710,861.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.