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Finding the Third Proportional to 42,906,408,337 and 92,370,224,567

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Solution

The third proportional to 42,906,408,337 and 92,370,224,567 is: 198,857,436,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906,408,337 : 92,370,224,567 = 92,370,224,567 : x
  2. Step 2: Convert to fraction form
    42,906,408,337/92,370,224,567 = 92,370,224,567/x
  3. Step 3: Cross multiply
    42,906,408,337x = 92,370,224,567 × 92,370,224,567
  4. Step 4: Simplify right side
    42,906,408,337x = 8,532,258,386,558,010,261,504
  5. Step 5: Solve for x
    x = 8,532,258,386,558,010,261,504/42,906,408,337
  6. Step 6: Final answer
    x = 198,857,436,855.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.