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Finding the Third Proportional to 51,361,549 and 113,797,336

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Solution

The third proportional to 51,361,549 and 113,797,336 is: 252,130,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,361,549 : 113,797,336 = 113,797,336 : x
  2. Step 2: Convert to fraction form
    51,361,549/113,797,336 = 113,797,336/x
  3. Step 3: Cross multiply
    51,361,549x = 113,797,336 × 113,797,336
  4. Step 4: Simplify right side
    51,361,549x = 12,949,833,680,696,896
  5. Step 5: Solve for x
    x = 12,949,833,680,696,896/51,361,549
  6. Step 6: Final answer
    x = 252,130,902.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.