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Finding the Third Proportional to 54,831,873 and 120,426,042

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Solution

The third proportional to 54,831,873 and 120,426,042 is: 264,489,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831,873 : 120,426,042 = 120,426,042 : x
  2. Step 2: Convert to fraction form
    54,831,873/120,426,042 = 120,426,042/x
  3. Step 3: Cross multiply
    54,831,873x = 120,426,042 × 120,426,042
  4. Step 4: Simplify right side
    54,831,873x = 14,502,431,591,785,764
  5. Step 5: Solve for x
    x = 14,502,431,591,785,764/54,831,873
  6. Step 6: Final answer
    x = 264,489,079.04

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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.