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Finding the Third Proportional to 869,948,876 and 1,317,558,450

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Solution

The third proportional to 869,948,876 and 1,317,558,450 is: 1,995,473,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,948,876 : 1,317,558,450 = 1,317,558,450 : x
  2. Step 2: Convert to fraction form
    869,948,876/1,317,558,450 = 1,317,558,450/x
  3. Step 3: Cross multiply
    869,948,876x = 1,317,558,450 × 1,317,558,450
  4. Step 4: Simplify right side
    869,948,876x = 1,735,960,269,166,402,560
  5. Step 5: Solve for x
    x = 1,735,960,269,166,402,560/869,948,876
  6. Step 6: Final answer
    x = 1,995,473,891.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.