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Finding the Third Proportional to 4,831,642 and 10,419,848

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Solution

The third proportional to 4,831,642 and 10,419,848 is: 22,471,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831,642 : 10,419,848 = 10,419,848 : x
  2. Step 2: Convert to fraction form
    4,831,642/10,419,848 = 10,419,848/x
  3. Step 3: Cross multiply
    4,831,642x = 10,419,848 × 10,419,848
  4. Step 4: Simplify right side
    4,831,642x = 108,573,232,343,104
  5. Step 5: Solve for x
    x = 108,573,232,343,104/4,831,642
  6. Step 6: Final answer
    x = 22,471,290.78

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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.