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Finding the Third Proportional to 5,775,792,882 and 12,658,843,104

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Solution

The third proportional to 5,775,792,882 and 12,658,843,104 is: 27,744,469,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775,792,882 : 12,658,843,104 = 12,658,843,104 : x
  2. Step 2: Convert to fraction form
    5,775,792,882/12,658,843,104 = 12,658,843,104/x
  3. Step 3: Cross multiply
    5,775,792,882x = 12,658,843,104 × 12,658,843,104
  4. Step 4: Simplify right side
    5,775,792,882x = 160,246,308,731,688,353,792
  5. Step 5: Solve for x
    x = 160,246,308,731,688,353,792/5,775,792,882
  6. Step 6: Final answer
    x = 27,744,469,375.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.