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Finding the Third Proportional to 1,691,176,624 and 2,587,310,874

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Solution

The third proportional to 1,691,176,624 and 2,587,310,874 is: 3,958,295,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,176,624 : 2,587,310,874 = 2,587,310,874 : x
  2. Step 2: Convert to fraction form
    1,691,176,624/2,587,310,874 = 2,587,310,874/x
  3. Step 3: Cross multiply
    1,691,176,624x = 2,587,310,874 × 2,587,310,874
  4. Step 4: Simplify right side
    1,691,176,624x = 6,694,177,558,718,644,224
  5. Step 5: Solve for x
    x = 6,694,177,558,718,644,224/1,691,176,624
  6. Step 6: Final answer
    x = 3,958,295,936.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.