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Finding the Third Proportional to 1,960,841,196 and 4,231,555,020

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Solution

The third proportional to 1,960,841,196 and 4,231,555,020 is: 9,131,824,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,841,196 : 4,231,555,020 = 4,231,555,020 : x
  2. Step 2: Convert to fraction form
    1,960,841,196/4,231,555,020 = 4,231,555,020/x
  3. Step 3: Cross multiply
    1,960,841,196x = 4,231,555,020 × 4,231,555,020
  4. Step 4: Simplify right side
    1,960,841,196x = 17,906,057,887,287,199,744
  5. Step 5: Solve for x
    x = 17,906,057,887,287,199,744/1,960,841,196
  6. Step 6: Final answer
    x = 9,131,824,608.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.