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Finding the Third Proportional to 5,072,330.25 and 10,321,805.25

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Solution

The third proportional to 5,072,330.25 and 10,321,805.25 is: 21,004,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072,330.25 : 10,321,805.25 = 10,321,805.25 : x
  2. Step 2: Convert to fraction form
    5,072,330.25/10,321,805.25 = 10,321,805.25/x
  3. Step 3: Cross multiply
    5,072,330.25x = 10,321,805.25 × 10,321,805.25
  4. Step 4: Simplify right side
    5,072,330.25x = 106,539,663,618,927.56
  5. Step 5: Solve for x
    x = 106,539,663,618,927.56/5,072,330.25
  6. Step 6: Final answer
    x = 21,004,086.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.