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Finding the Third Proportional to 38,357,275,480,947 and 78,747,981,876,918

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Solution

The third proportional to 38,357,275,480,947 and 78,747,981,876,918 is: 161,670,623,680,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357,275,480,947 : 78,747,981,876,918 = 78,747,981,876,918 : x
  2. Step 2: Convert to fraction form
    38,357,275,480,947/78,747,981,876,918 = 78,747,981,876,918/x
  3. Step 3: Cross multiply
    38,357,275,480,947x = 78,747,981,876,918 × 78,747,981,876,918
  4. Step 4: Simplify right side
    38,357,275,480,947x = 6,201,244,649,687,405,820,341,387,264
  5. Step 5: Solve for x
    x = 6,201,244,649,687,405,820,341,387,264/38,357,275,480,947
  6. Step 6: Final answer
    x = 161,670,623,680,446.66

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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.