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Finding the Third Proportional to 37,456,928,420 and 54,118,793,204

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Solution

The third proportional to 37,456,928,420 and 54,118,793,204 is: 78,192,310,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,456,928,420 : 54,118,793,204 = 54,118,793,204 : x
  2. Step 2: Convert to fraction form
    37,456,928,420/54,118,793,204 = 54,118,793,204/x
  3. Step 3: Cross multiply
    37,456,928,420x = 54,118,793,204 × 54,118,793,204
  4. Step 4: Simplify right side
    37,456,928,420x = 2,928,843,777,857,316,454,400
  5. Step 5: Solve for x
    x = 2,928,843,777,857,316,454,400/37,456,928,420
  6. Step 6: Final answer
    x = 78,192,310,512.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.