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Finding the Third Proportional to 4,640,549.25 and 9,991,992.75

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Solution

The third proportional to 4,640,549.25 and 9,991,992.75 is: 21,514,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,549.25 : 9,991,992.75 = 9,991,992.75 : x
  2. Step 2: Convert to fraction form
    4,640,549.25/9,991,992.75 = 9,991,992.75/x
  3. Step 3: Cross multiply
    4,640,549.25x = 9,991,992.75 × 9,991,992.75
  4. Step 4: Simplify right side
    4,640,549.25x = 99,839,919,116,052.56
  5. Step 5: Solve for x
    x = 99,839,919,116,052.56/4,640,549.25
  6. Step 6: Final answer
    x = 21,514,677.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.