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Finding the Third Proportional to 569,635,856 and 1,169,469,808

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Solution

The third proportional to 569,635,856 and 1,169,469,808 is: 2,400,936,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,635,856 : 1,169,469,808 = 1,169,469,808 : x
  2. Step 2: Convert to fraction form
    569,635,856/1,169,469,808 = 1,169,469,808/x
  3. Step 3: Cross multiply
    569,635,856x = 1,169,469,808 × 1,169,469,808
  4. Step 4: Simplify right side
    569,635,856x = 1,367,659,631,823,556,864
  5. Step 5: Solve for x
    x = 1,367,659,631,823,556,864/569,635,856
  6. Step 6: Final answer
    x = 2,400,936,699.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.