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Finding the Third Proportional to 5,080,998,724 and 11,006,302,196

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Solution

The third proportional to 5,080,998,724 and 11,006,302,196 is: 23,841,511,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080,998,724 : 11,006,302,196 = 11,006,302,196 : x
  2. Step 2: Convert to fraction form
    5,080,998,724/11,006,302,196 = 11,006,302,196/x
  3. Step 3: Cross multiply
    5,080,998,724x = 11,006,302,196 × 11,006,302,196
  4. Step 4: Simplify right side
    5,080,998,724x = 121,138,688,029,674,422,272
  5. Step 5: Solve for x
    x = 121,138,688,029,674,422,272/5,080,998,724
  6. Step 6: Final answer
    x = 23,841,511,208.71

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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.