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Finding the Third Proportional to 251,017,881 and 542,369,874

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Solution

The third proportional to 251,017,881 and 542,369,874 is: 1,171,888,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,017,881 : 542,369,874 = 542,369,874 : x
  2. Step 2: Convert to fraction form
    251,017,881/542,369,874 = 542,369,874/x
  3. Step 3: Cross multiply
    251,017,881x = 542,369,874 × 542,369,874
  4. Step 4: Simplify right side
    251,017,881x = 294,165,080,222,775,872
  5. Step 5: Solve for x
    x = 294,165,080,222,775,872/251,017,881
  6. Step 6: Final answer
    x = 1,171,888,946.92

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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.