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Finding the Third Proportional to 6,831,900 and 14,785,848

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Solution

The third proportional to 6,831,900 and 14,785,848 is: 32,000,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831,900 : 14,785,848 = 14,785,848 : x
  2. Step 2: Convert to fraction form
    6,831,900/14,785,848 = 14,785,848/x
  3. Step 3: Cross multiply
    6,831,900x = 14,785,848 × 14,785,848
  4. Step 4: Simplify right side
    6,831,900x = 218,621,301,079,104
  5. Step 5: Solve for x
    x = 218,621,301,079,104/6,831,900
  6. Step 6: Final answer
    x = 32,000,073.34

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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.