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Finding the Third Proportional to 5,080,998,718 and 11,006,302,184

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Solution

The third proportional to 5,080,998,718 and 11,006,302,184 is: 23,841,511,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080,998,718 : 11,006,302,184 = 11,006,302,184 : x
  2. Step 2: Convert to fraction form
    5,080,998,718/11,006,302,184 = 11,006,302,184/x
  3. Step 3: Cross multiply
    5,080,998,718x = 11,006,302,184 × 11,006,302,184
  4. Step 4: Simplify right side
    5,080,998,718x = 121,138,687,765,523,169,280
  5. Step 5: Solve for x
    x = 121,138,687,765,523,169,280/5,080,998,718
  6. Step 6: Final answer
    x = 23,841,511,184.87

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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.