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Finding the Third Proportional to 51,439,902 and 110,956,274

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Solution

The third proportional to 51,439,902 and 110,956,274 is: 239,333,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,439,902 : 110,956,274 = 110,956,274 : x
  2. Step 2: Convert to fraction form
    51,439,902/110,956,274 = 110,956,274/x
  3. Step 3: Cross multiply
    51,439,902x = 110,956,274 × 110,956,274
  4. Step 4: Simplify right side
    51,439,902x = 12,311,294,739,963,076
  5. Step 5: Solve for x
    x = 12,311,294,739,963,076/51,439,902
  6. Step 6: Final answer
    x = 239,333,557.44

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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.