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Finding the Third Proportional to 17,646,240 and 38,772,000

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Solution

The third proportional to 17,646,240 and 38,772,000 is: 85,189,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646,240 : 38,772,000 = 38,772,000 : x
  2. Step 2: Convert to fraction form
    17,646,240/38,772,000 = 38,772,000/x
  3. Step 3: Cross multiply
    17,646,240x = 38,772,000 × 38,772,000
  4. Step 4: Simplify right side
    17,646,240x = 1,503,267,984,000,000
  5. Step 5: Solve for x
    x = 1,503,267,984,000,000/17,646,240
  6. Step 6: Final answer
    x = 85,189,138.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.