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Finding the Third Proportional to 38,357,275,473,693 and 78,747,981,863,265

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Solution

The third proportional to 38,357,275,473,693 and 78,747,981,863,265 is: 161,670,623,654,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357,275,473,693 : 78,747,981,863,265 = 78,747,981,863,265 : x
  2. Step 2: Convert to fraction form
    38,357,275,473,693/78,747,981,863,265 = 78,747,981,863,265/x
  3. Step 3: Cross multiply
    38,357,275,473,693x = 78,747,981,863,265 × 78,747,981,863,265
  4. Step 4: Simplify right side
    38,357,275,473,693x = 6,201,244,647,537,112,920,132,419,584
  5. Step 5: Solve for x
    x = 6,201,244,647,537,112,920,132,419,584/38,357,275,473,693
  6. Step 6: Final answer
    x = 161,670,623,654,961.69

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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.