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Finding the Third Proportional to 4,010,225 and 8,659,653

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Solution

The third proportional to 4,010,225 and 8,659,653 is: 18,699,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,225 : 8,659,653 = 8,659,653 : x
  2. Step 2: Convert to fraction form
    4,010,225/8,659,653 = 8,659,653/x
  3. Step 3: Cross multiply
    4,010,225x = 8,659,653 × 8,659,653
  4. Step 4: Simplify right side
    4,010,225x = 74,989,590,080,409
  5. Step 5: Solve for x
    x = 74,989,590,080,409/4,010,225
  6. Step 6: Final answer
    x = 18,699,596.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.