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Finding the Third Proportional to 51,737,742 and 112,660,884

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Solution

The third proportional to 51,737,742 and 112,660,884 is: 245,323,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737,742 : 112,660,884 = 112,660,884 : x
  2. Step 2: Convert to fraction form
    51,737,742/112,660,884 = 112,660,884/x
  3. Step 3: Cross multiply
    51,737,742x = 112,660,884 × 112,660,884
  4. Step 4: Simplify right side
    51,737,742x = 12,692,474,783,661,456
  5. Step 5: Solve for x
    x = 12,692,474,783,661,456/51,737,742
  6. Step 6: Final answer
    x = 245,323,322.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.