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Finding the Third Proportional to 8,307,132,091 and 17,874,194,159

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Solution

The third proportional to 8,307,132,091 and 17,874,194,159 is: 38,459,339,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307,132,091 : 17,874,194,159 = 17,874,194,159 : x
  2. Step 2: Convert to fraction form
    8,307,132,091/17,874,194,159 = 17,874,194,159/x
  3. Step 3: Cross multiply
    8,307,132,091x = 17,874,194,159 × 17,874,194,159
  4. Step 4: Simplify right side
    8,307,132,091x = 319,486,816,833,629,716,480
  5. Step 5: Solve for x
    x = 319,486,816,833,629,716,480/8,307,132,091
  6. Step 6: Final answer
    x = 38,459,339,918.26

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Why These Related Problems?

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