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Finding the Third Proportional to 10,090,589.50 and 20,853,828.50

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Solution

The third proportional to 10,090,589.50 and 20,853,828.50 is: 43,097,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090,589.50 : 20,853,828.50 = 20,853,828.50 : x
  2. Step 2: Convert to fraction form
    10,090,589.50/20,853,828.50 = 20,853,828.50/x
  3. Step 3: Cross multiply
    10,090,589.50x = 20,853,828.50 × 20,853,828.50
  4. Step 4: Simplify right side
    10,090,589.50x = 434,882,163,107,412.25
  5. Step 5: Solve for x
    x = 434,882,163,107,412.25/10,090,589.50
  6. Step 6: Final answer
    x = 43,097,795.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.