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Finding the Third Proportional to 683,258,618.25 and 1,414,966,941

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Solution

The third proportional to 683,258,618.25 and 1,414,966,941 is: 2,930,268,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,258,618.25 : 1,414,966,941 = 1,414,966,941 : x
  2. Step 2: Convert to fraction form
    683,258,618.25/1,414,966,941 = 1,414,966,941/x
  3. Step 3: Cross multiply
    683,258,618.25x = 1,414,966,941 × 1,414,966,941
  4. Step 4: Simplify right side
    683,258,618.25x = 2,002,131,444,122,897,408
  5. Step 5: Solve for x
    x = 2,002,131,444,122,897,408/683,258,618.25
  6. Step 6: Final answer
    x = 2,930,268,847.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.