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Finding the Third Proportional to 8,061,554,876,894 and 17,766,311,383,811

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Solution

The third proportional to 8,061,554,876,894 and 17,766,311,383,811 is: 39,153,962,852,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061,554,876,894 : 17,766,311,383,811 = 17,766,311,383,811 : x
  2. Step 2: Convert to fraction form
    8,061,554,876,894/17,766,311,383,811 = 17,766,311,383,811/x
  3. Step 3: Cross multiply
    8,061,554,876,894x = 17,766,311,383,811 × 17,766,311,383,811
  4. Step 4: Simplify right side
    8,061,554,876,894x = 315,641,820,186,532,303,513,583,616
  5. Step 5: Solve for x
    x = 315,641,820,186,532,303,513,583,616/8,061,554,876,894
  6. Step 6: Final answer
    x = 39,153,962,852,901.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.