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Finding the Third Proportional to 17,766,010,764 and 27,597,837,564

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Solution

The third proportional to 17,766,010,764 and 27,597,837,564 is: 42,870,661,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766,010,764 : 27,597,837,564 = 27,597,837,564 : x
  2. Step 2: Convert to fraction form
    17,766,010,764/27,597,837,564 = 27,597,837,564/x
  3. Step 3: Cross multiply
    17,766,010,764x = 27,597,837,564 × 27,597,837,564
  4. Step 4: Simplify right side
    17,766,010,764x = 761,640,638,208,929,431,552
  5. Step 5: Solve for x
    x = 761,640,638,208,929,431,552/17,766,010,764
  6. Step 6: Final answer
    x = 42,870,661,755.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.