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Finding the Third Proportional to 251,017,872 and 542,369,856

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Solution

The third proportional to 251,017,872 and 542,369,856 is: 1,171,888,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,017,872 : 542,369,856 = 542,369,856 : x
  2. Step 2: Convert to fraction form
    251,017,872/542,369,856 = 542,369,856/x
  3. Step 3: Cross multiply
    251,017,872x = 542,369,856 × 542,369,856
  4. Step 4: Simplify right side
    251,017,872x = 294,165,060,697,460,736
  5. Step 5: Solve for x
    x = 294,165,060,697,460,736/251,017,872
  6. Step 6: Final answer
    x = 1,171,888,911.15

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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.