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Finding the Third Proportional to 2,273,768,777.25 and 4,947,920,046

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Solution

The third proportional to 2,273,768,777.25 and 4,947,920,046 is: 10,767,107,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,768,777.25 : 4,947,920,046 = 4,947,920,046 : x
  2. Step 2: Convert to fraction form
    2,273,768,777.25/4,947,920,046 = 4,947,920,046/x
  3. Step 3: Cross multiply
    2,273,768,777.25x = 4,947,920,046 × 4,947,920,046
  4. Step 4: Simplify right side
    2,273,768,777.25x = 24,481,912,781,608,640,512
  5. Step 5: Solve for x
    x = 24,481,912,781,608,640,512/2,273,768,777.25
  6. Step 6: Final answer
    x = 10,767,107,467.81

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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.