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Finding the Third Proportional to 5,165,458,206,954 and 11,097,487,039,242

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Solution

The third proportional to 5,165,458,206,954 and 11,097,487,039,242 is: 23,841,876,877,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165,458,206,954 : 11,097,487,039,242 = 11,097,487,039,242 : x
  2. Step 2: Convert to fraction form
    5,165,458,206,954/11,097,487,039,242 = 11,097,487,039,242/x
  3. Step 3: Cross multiply
    5,165,458,206,954x = 11,097,487,039,242 × 11,097,487,039,242
  4. Step 4: Simplify right side
    5,165,458,206,954x = 123,154,218,586,144,164,859,084,800
  5. Step 5: Solve for x
    x = 123,154,218,586,144,164,859,084,800/5,165,458,206,954
  6. Step 6: Final answer
    x = 23,841,876,877,514.52

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