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Finding the Third Proportional to 4,709,385.56 and 6,391,310.06

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Solution

The third proportional to 4,709,385.56 and 6,391,310.06 is: 8,673,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,385.56 : 6,391,310.06 = 6,391,310.06 : x
  2. Step 2: Convert to fraction form
    4,709,385.56/6,391,310.06 = 6,391,310.06/x
  3. Step 3: Cross multiply
    4,709,385.56x = 6,391,310.06 × 6,391,310.06
  4. Step 4: Simplify right side
    4,709,385.56x = 40,848,844,315,013.75
  5. Step 5: Solve for x
    x = 40,848,844,315,013.75/4,709,385.56
  6. Step 6: Final answer
    x = 8,673,922.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.