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Finding the Third Proportional to 8,848,680,746 and 18,959,503,524

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Solution

The third proportional to 8,848,680,746 and 18,959,503,524 is: 40,623,318,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848,680,746 : 18,959,503,524 = 18,959,503,524 : x
  2. Step 2: Convert to fraction form
    8,848,680,746/18,959,503,524 = 18,959,503,524/x
  3. Step 3: Cross multiply
    8,848,680,746x = 18,959,503,524 × 18,959,503,524
  4. Step 4: Simplify right side
    8,848,680,746x = 359,462,773,876,568,424,448
  5. Step 5: Solve for x
    x = 359,462,773,876,568,424,448/8,848,680,746
  6. Step 6: Final answer
    x = 40,623,318,231.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.