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Finding the Third Proportional to 5,009,489 and 10,964,194

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Solution

The third proportional to 5,009,489 and 10,964,194 is: 23,997,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009,489 : 10,964,194 = 10,964,194 : x
  2. Step 2: Convert to fraction form
    5,009,489/10,964,194 = 10,964,194/x
  3. Step 3: Cross multiply
    5,009,489x = 10,964,194 × 10,964,194
  4. Step 4: Simplify right side
    5,009,489x = 120,213,550,069,636
  5. Step 5: Solve for x
    x = 120,213,550,069,636/5,009,489
  6. Step 6: Final answer
    x = 23,997,168.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.