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Finding the Third Proportional to 5,010,518.53 and 10,729,625.06

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Solution

The third proportional to 5,010,518.53 and 10,729,625.06 is: 22,976,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,518.53 : 10,729,625.06 = 10,729,625.06 : x
  2. Step 2: Convert to fraction form
    5,010,518.53/10,729,625.06 = 10,729,625.06/x
  3. Step 3: Cross multiply
    5,010,518.53x = 10,729,625.06 × 10,729,625.06
  4. Step 4: Simplify right side
    5,010,518.53x = 115,124,853,981,828.12
  5. Step 5: Solve for x
    x = 115,124,853,981,828.12/5,010,518.53
  6. Step 6: Final answer
    x = 22,976,634.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.