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Finding the Third Proportional to 7,894,906,786 and 17,554,519,716

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Solution

The third proportional to 7,894,906,786 and 17,554,519,716 is: 39,032,907,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894,906,786 : 17,554,519,716 = 17,554,519,716 : x
  2. Step 2: Convert to fraction form
    7,894,906,786/17,554,519,716 = 17,554,519,716/x
  3. Step 3: Cross multiply
    7,894,906,786x = 17,554,519,716 × 17,554,519,716
  4. Step 4: Simplify right side
    7,894,906,786x = 308,161,162,459,432,747,008
  5. Step 5: Solve for x
    x = 308,161,162,459,432,747,008/7,894,906,786
  6. Step 6: Final answer
    x = 39,032,907,013.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.