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Finding the Third Proportional to 547,722,204 and 848,408,602

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Solution

The third proportional to 547,722,204 and 848,408,602 is: 1,314,164,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,722,204 : 848,408,602 = 848,408,602 : x
  2. Step 2: Convert to fraction form
    547,722,204/848,408,602 = 848,408,602/x
  3. Step 3: Cross multiply
    547,722,204x = 848,408,602 × 848,408,602
  4. Step 4: Simplify right side
    547,722,204x = 719,797,155,947,594,368
  5. Step 5: Solve for x
    x = 719,797,155,947,594,368/547,722,204
  6. Step 6: Final answer
    x = 1,314,164,645.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.