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Finding the Third Proportional to 9,474,438 and 20,838,010

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Solution

The third proportional to 9,474,438 and 20,838,010 is: 45,830,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474,438 : 20,838,010 = 20,838,010 : x
  2. Step 2: Convert to fraction form
    9,474,438/20,838,010 = 20,838,010/x
  3. Step 3: Cross multiply
    9,474,438x = 20,838,010 × 20,838,010
  4. Step 4: Simplify right side
    9,474,438x = 434,222,660,760,100
  5. Step 5: Solve for x
    x = 434,222,660,760,100/9,474,438
  6. Step 6: Final answer
    x = 45,830,967.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.