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Finding the Third Proportional to 13,124,319 and 20,546,662.50

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Solution

The third proportional to 13,124,319 and 20,546,662.50 is: 32,166,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124,319 : 20,546,662.50 = 20,546,662.50 : x
  2. Step 2: Convert to fraction form
    13,124,319/20,546,662.50 = 20,546,662.50/x
  3. Step 3: Cross multiply
    13,124,319x = 20,546,662.50 × 20,546,662.50
  4. Step 4: Simplify right side
    13,124,319x = 422,165,339,888,906.25
  5. Step 5: Solve for x
    x = 422,165,339,888,906.25/13,124,319
  6. Step 6: Final answer
    x = 32,166,647.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.