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Finding the Third Proportional to 938,715,817.50 and 1,954,684,004.63

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Solution

The third proportional to 938,715,817.50 and 1,954,684,004.63 is: 4,070,230,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,715,817.50 : 1,954,684,004.63 = 1,954,684,004.63 : x
  2. Step 2: Convert to fraction form
    938,715,817.50/1,954,684,004.63 = 1,954,684,004.63/x
  3. Step 3: Cross multiply
    938,715,817.50x = 1,954,684,004.63 × 1,954,684,004.63
  4. Step 4: Simplify right side
    938,715,817.50x = 3,820,789,557,936,826,880
  5. Step 5: Solve for x
    x = 3,820,789,557,936,826,880/938,715,817.50
  6. Step 6: Final answer
    x = 4,070,230,294.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.