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Finding the Third Proportional to 5,363,309,032 and 11,546,298,859

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Solution

The third proportional to 5,363,309,032 and 11,546,298,859 is: 24,857,232,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363,309,032 : 11,546,298,859 = 11,546,298,859 : x
  2. Step 2: Convert to fraction form
    5,363,309,032/11,546,298,859 = 11,546,298,859/x
  3. Step 3: Cross multiply
    5,363,309,032x = 11,546,298,859 × 11,546,298,859
  4. Step 4: Simplify right side
    5,363,309,032x = 133,317,017,341,344,694,272
  5. Step 5: Solve for x
    x = 133,317,017,341,344,694,272/5,363,309,032
  6. Step 6: Final answer
    x = 24,857,232,083.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.