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Finding the Third Proportional to 187,079,082,920 and 436,532,945,636

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Solution

The third proportional to 187,079,082,920 and 436,532,945,636 is: 1,018,612,073,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,079,082,920 : 436,532,945,636 = 436,532,945,636 : x
  2. Step 2: Convert to fraction form
    187,079,082,920/436,532,945,636 = 436,532,945,636/x
  3. Step 3: Cross multiply
    187,079,082,920x = 436,532,945,636 × 436,532,945,636
  4. Step 4: Simplify right side
    187,079,082,920x = 190,561,012,625,642,916,675,584
  5. Step 5: Solve for x
    x = 190,561,012,625,642,916,675,584/187,079,082,920
  6. Step 6: Final answer
    x = 1,018,612,073,842.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.