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Finding the Third Proportional to 6,281,816,840 and 13,610,546,512

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Solution

The third proportional to 6,281,816,840 and 13,610,546,512 is: 29,489,394,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,816,840 : 13,610,546,512 = 13,610,546,512 : x
  2. Step 2: Convert to fraction form
    6,281,816,840/13,610,546,512 = 13,610,546,512/x
  3. Step 3: Cross multiply
    6,281,816,840x = 13,610,546,512 × 13,610,546,512
  4. Step 4: Simplify right side
    6,281,816,840x = 185,246,976,355,315,351,552
  5. Step 5: Solve for x
    x = 185,246,976,355,315,351,552/6,281,816,840
  6. Step 6: Final answer
    x = 29,489,394,720.29

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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.