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Finding the Third Proportional to 9,199,593 and 20,009,911.50

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Solution

The third proportional to 9,199,593 and 20,009,911.50 is: 43,523,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,593 : 20,009,911.50 = 20,009,911.50 : x
  2. Step 2: Convert to fraction form
    9,199,593/20,009,911.50 = 20,009,911.50/x
  3. Step 3: Cross multiply
    9,199,593x = 20,009,911.50 × 20,009,911.50
  4. Step 4: Simplify right side
    9,199,593x = 400,396,558,237,832.25
  5. Step 5: Solve for x
    x = 400,396,558,237,832.25/9,199,593
  6. Step 6: Final answer
    x = 43,523,290.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.