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Finding the Third Proportional to 10,045,054.50 and 21,802,530

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Solution

The third proportional to 10,045,054.50 and 21,802,530 is: 47,321,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045,054.50 : 21,802,530 = 21,802,530 : x
  2. Step 2: Convert to fraction form
    10,045,054.50/21,802,530 = 21,802,530/x
  3. Step 3: Cross multiply
    10,045,054.50x = 21,802,530 × 21,802,530
  4. Step 4: Simplify right side
    10,045,054.50x = 475,350,314,400,900
  5. Step 5: Solve for x
    x = 475,350,314,400,900/10,045,054.50
  6. Step 6: Final answer
    x = 47,321,825.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.