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Finding the Third Proportional to 23,348,178,629,272 and 50,210,177,856,820

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Solution

The third proportional to 23,348,178,629,272 and 50,210,177,856,820 is: 107,976,814,827,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348,178,629,272 : 50,210,177,856,820 = 50,210,177,856,820 : x
  2. Step 2: Convert to fraction form
    23,348,178,629,272/50,210,177,856,820 = 50,210,177,856,820/x
  3. Step 3: Cross multiply
    23,348,178,629,272x = 50,210,177,856,820 × 50,210,177,856,820
  4. Step 4: Simplify right side
    23,348,178,629,272x = 2,521,061,960,413,497,253,859,164,160
  5. Step 5: Solve for x
    x = 2,521,061,960,413,497,253,859,164,160/23,348,178,629,272
  6. Step 6: Final answer
    x = 107,976,814,827,551.47

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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.