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Finding the Third Proportional to 9,890,644.50 and 20,844,009

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Solution

The third proportional to 9,890,644.50 and 20,844,009 is: 43,927,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890,644.50 : 20,844,009 = 20,844,009 : x
  2. Step 2: Convert to fraction form
    9,890,644.50/20,844,009 = 20,844,009/x
  3. Step 3: Cross multiply
    9,890,644.50x = 20,844,009 × 20,844,009
  4. Step 4: Simplify right side
    9,890,644.50x = 434,472,711,192,081
  5. Step 5: Solve for x
    x = 434,472,711,192,081/9,890,644.50
  6. Step 6: Final answer
    x = 43,927,644.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.