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Finding the Third Proportional to 10,313,203.50 and 21,473,614.69

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Solution

The third proportional to 10,313,203.50 and 21,473,614.69 is: 44,711,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,203.50 : 21,473,614.69 = 21,473,614.69 : x
  2. Step 2: Convert to fraction form
    10,313,203.50/21,473,614.69 = 21,473,614.69/x
  3. Step 3: Cross multiply
    10,313,203.50x = 21,473,614.69 × 21,473,614.69
  4. Step 4: Simplify right side
    10,313,203.50x = 461,116,127,747,215.75
  5. Step 5: Solve for x
    x = 461,116,127,747,215.75/10,313,203.50
  6. Step 6: Final answer
    x = 44,711,241.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.