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Finding the Third Proportional to 6,281,816,854 and 13,610,546,540

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Solution

The third proportional to 6,281,816,854 and 13,610,546,540 is: 29,489,394,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,816,854 : 13,610,546,540 = 13,610,546,540 : x
  2. Step 2: Convert to fraction form
    6,281,816,854/13,610,546,540 = 13,610,546,540/x
  3. Step 3: Cross multiply
    6,281,816,854x = 13,610,546,540 × 13,610,546,540
  4. Step 4: Simplify right side
    6,281,816,854x = 185,246,977,117,505,978,368
  5. Step 5: Solve for x
    x = 185,246,977,117,505,978,368/6,281,816,854
  6. Step 6: Final answer
    x = 29,489,394,775.90

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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.