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Finding the Third Proportional to 958,822,483,698 and 2,086,436,391,812

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Solution

The third proportional to 958,822,483,698 and 2,086,436,391,812 is: 4,540,169,730,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,822,483,698 : 2,086,436,391,812 = 2,086,436,391,812 : x
  2. Step 2: Convert to fraction form
    958,822,483,698/2,086,436,391,812 = 2,086,436,391,812/x
  3. Step 3: Cross multiply
    958,822,483,698x = 2,086,436,391,812 × 2,086,436,391,812
  4. Step 4: Simplify right side
    958,822,483,698x = 4,353,216,817,077,477,577,850,880
  5. Step 5: Solve for x
    x = 4,353,216,817,077,477,577,850,880/958,822,483,698
  6. Step 6: Final answer
    x = 4,540,169,730,154.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.