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Finding the Third Proportional to 41,488,813,473.75 and 89,270,171,604

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Solution

The third proportional to 41,488,813,473.75 and 89,270,171,604 is: 192,079,813,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488,813,473.75 : 89,270,171,604 = 89,270,171,604 : x
  2. Step 2: Convert to fraction form
    41,488,813,473.75/89,270,171,604 = 89,270,171,604/x
  3. Step 3: Cross multiply
    41,488,813,473.75x = 89,270,171,604 × 89,270,171,604
  4. Step 4: Simplify right side
    41,488,813,473.75x = 7,969,163,538,207,607,881,728
  5. Step 5: Solve for x
    x = 7,969,163,538,207,607,881,728/41,488,813,473.75
  6. Step 6: Final answer
    x = 192,079,813,110.34

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Why These Related Problems?

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