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Finding the Third Proportional to 5,209,168 and 11,260,520

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Solution

The third proportional to 5,209,168 and 11,260,520 is: 24,341,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,168 : 11,260,520 = 11,260,520 : x
  2. Step 2: Convert to fraction form
    5,209,168/11,260,520 = 11,260,520/x
  3. Step 3: Cross multiply
    5,209,168x = 11,260,520 × 11,260,520
  4. Step 4: Simplify right side
    5,209,168x = 126,799,310,670,400
  5. Step 5: Solve for x
    x = 126,799,310,670,400/5,209,168
  6. Step 6: Final answer
    x = 24,341,566.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.