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Finding the Third Proportional to 10,759,847 and 23,054,719

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Solution

The third proportional to 10,759,847 and 23,054,719 is: 49,398,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759,847 : 23,054,719 = 23,054,719 : x
  2. Step 2: Convert to fraction form
    10,759,847/23,054,719 = 23,054,719/x
  3. Step 3: Cross multiply
    10,759,847x = 23,054,719 × 23,054,719
  4. Step 4: Simplify right side
    10,759,847x = 531,520,068,168,961
  5. Step 5: Solve for x
    x = 531,520,068,168,961/10,759,847
  6. Step 6: Final answer
    x = 49,398,478.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.