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Finding the Third Proportional to 4,590,074.25 and 7,164,234.75

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Solution

The third proportional to 4,590,074.25 and 7,164,234.75 is: 11,182,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,074.25 : 7,164,234.75 = 7,164,234.75 : x
  2. Step 2: Convert to fraction form
    4,590,074.25/7,164,234.75 = 7,164,234.75/x
  3. Step 3: Cross multiply
    4,590,074.25x = 7,164,234.75 × 7,164,234.75
  4. Step 4: Simplify right side
    4,590,074.25x = 51,326,259,553,107.56
  5. Step 5: Solve for x
    x = 51,326,259,553,107.56/4,590,074.25
  6. Step 6: Final answer
    x = 11,182,010.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.