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Finding the Third Proportional to 949,523,793 and 2,024,466,690

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Solution

The third proportional to 949,523,793 and 2,024,466,690 is: 4,316,337,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,523,793 : 2,024,466,690 = 2,024,466,690 : x
  2. Step 2: Convert to fraction form
    949,523,793/2,024,466,690 = 2,024,466,690/x
  3. Step 3: Cross multiply
    949,523,793x = 2,024,466,690 × 2,024,466,690
  4. Step 4: Simplify right side
    949,523,793x = 4,098,465,378,919,556,096
  5. Step 5: Solve for x
    x = 4,098,465,378,919,556,096/949,523,793
  6. Step 6: Final answer
    x = 4,316,337,735.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.