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Finding the Third Proportional to 17,680,897 and 36,932,546

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Solution

The third proportional to 17,680,897 and 36,932,546 is: 77,146,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680,897 : 36,932,546 = 36,932,546 : x
  2. Step 2: Convert to fraction form
    17,680,897/36,932,546 = 36,932,546/x
  3. Step 3: Cross multiply
    17,680,897x = 36,932,546 × 36,932,546
  4. Step 4: Simplify right side
    17,680,897x = 1,364,012,954,042,116
  5. Step 5: Solve for x
    x = 1,364,012,954,042,116/17,680,897
  6. Step 6: Final answer
    x = 77,146,139.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.