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Finding the Third Proportional to 6,398,310,233 and 13,910,280,563

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Solution

The third proportional to 6,398,310,233 and 13,910,280,563 is: 30,241,719,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,310,233 : 13,910,280,563 = 13,910,280,563 : x
  2. Step 2: Convert to fraction form
    6,398,310,233/13,910,280,563 = 13,910,280,563/x
  3. Step 3: Cross multiply
    6,398,310,233x = 13,910,280,563 × 13,910,280,563
  4. Step 4: Simplify right side
    6,398,310,233x = 193,495,905,341,375,610,880
  5. Step 5: Solve for x
    x = 193,495,905,341,375,610,880/6,398,310,233
  6. Step 6: Final answer
    x = 30,241,719,812.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.