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Finding the Third Proportional to 11,069,906 and 24,319,144

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Solution

The third proportional to 11,069,906 and 24,319,144 is: 53,425,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069,906 : 24,319,144 = 24,319,144 : x
  2. Step 2: Convert to fraction form
    11,069,906/24,319,144 = 24,319,144/x
  3. Step 3: Cross multiply
    11,069,906x = 24,319,144 × 24,319,144
  4. Step 4: Simplify right side
    11,069,906x = 591,420,764,892,736
  5. Step 5: Solve for x
    x = 591,420,764,892,736/11,069,906
  6. Step 6: Final answer
    x = 53,425,997.01

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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.