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Finding the Third Proportional to 681,578,500 and 1,492,897,832

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Solution

The third proportional to 681,578,500 and 1,492,897,832 is: 3,269,973,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,578,500 : 1,492,897,832 = 1,492,897,832 : x
  2. Step 2: Convert to fraction form
    681,578,500/1,492,897,832 = 1,492,897,832/x
  3. Step 3: Cross multiply
    681,578,500x = 1,492,897,832 × 1,492,897,832
  4. Step 4: Simplify right side
    681,578,500x = 2,228,743,936,790,300,160
  5. Step 5: Solve for x
    x = 2,228,743,936,790,300,160/681,578,500
  6. Step 6: Final answer
    x = 3,269,973,945.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.