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Finding the Third Proportional to 4,052,241 and 8,646,857.50

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Solution

The third proportional to 4,052,241 and 8,646,857.50 is: 18,451,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,241 : 8,646,857.50 = 8,646,857.50 : x
  2. Step 2: Convert to fraction form
    4,052,241/8,646,857.50 = 8,646,857.50/x
  3. Step 3: Cross multiply
    4,052,241x = 8,646,857.50 × 8,646,857.50
  4. Step 4: Simplify right side
    4,052,241x = 74,768,144,625,306.25
  5. Step 5: Solve for x
    x = 74,768,144,625,306.25/4,052,241
  6. Step 6: Final answer
    x = 18,451,060.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.