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Finding the Third Proportional to 4,848,563 and 7,230,805.50

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Solution

The third proportional to 4,848,563 and 7,230,805.50 is: 10,783,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848,563 : 7,230,805.50 = 7,230,805.50 : x
  2. Step 2: Convert to fraction form
    4,848,563/7,230,805.50 = 7,230,805.50/x
  3. Step 3: Cross multiply
    4,848,563x = 7,230,805.50 × 7,230,805.50
  4. Step 4: Simplify right side
    4,848,563x = 52,284,548,178,830.25
  5. Step 5: Solve for x
    x = 52,284,548,178,830.25/4,848,563
  6. Step 6: Final answer
    x = 10,783,514.25

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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.