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Finding the Third Proportional to 13,582,976 and 20,549,400

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Solution

The third proportional to 13,582,976 and 20,549,400 is: 31,088,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582,976 : 20,549,400 = 20,549,400 : x
  2. Step 2: Convert to fraction form
    13,582,976/20,549,400 = 20,549,400/x
  3. Step 3: Cross multiply
    13,582,976x = 20,549,400 × 20,549,400
  4. Step 4: Simplify right side
    13,582,976x = 422,277,840,360,000
  5. Step 5: Solve for x
    x = 422,277,840,360,000/13,582,976
  6. Step 6: Final answer
    x = 31,088,757.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.