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Finding the Third Proportional to 9,243,031.50 and 18,765,999

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Solution

The third proportional to 9,243,031.50 and 18,765,999 is: 38,100,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243,031.50 : 18,765,999 = 18,765,999 : x
  2. Step 2: Convert to fraction form
    9,243,031.50/18,765,999 = 18,765,999/x
  3. Step 3: Cross multiply
    9,243,031.50x = 18,765,999 × 18,765,999
  4. Step 4: Simplify right side
    9,243,031.50x = 352,162,718,468,001
  5. Step 5: Solve for x
    x = 352,162,718,468,001/9,243,031.50
  6. Step 6: Final answer
    x = 38,100,348.19

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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.