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Finding the Third Proportional to 8,744,702,324 and 18,882,832,591

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Solution

The third proportional to 8,744,702,324 and 18,882,832,591 is: 40,774,557,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744,702,324 : 18,882,832,591 = 18,882,832,591 : x
  2. Step 2: Convert to fraction form
    8,744,702,324/18,882,832,591 = 18,882,832,591/x
  3. Step 3: Cross multiply
    8,744,702,324x = 18,882,832,591 × 18,882,832,591
  4. Step 4: Simplify right side
    8,744,702,324x = 356,561,366,659,731,750,912
  5. Step 5: Solve for x
    x = 356,561,366,659,731,750,912/8,744,702,324
  6. Step 6: Final answer
    x = 40,774,557,377.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.