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Finding the Third Proportional to 681,578,496 and 1,492,897,824

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Solution

The third proportional to 681,578,496 and 1,492,897,824 is: 3,269,973,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,578,496 : 1,492,897,824 = 1,492,897,824 : x
  2. Step 2: Convert to fraction form
    681,578,496/1,492,897,824 = 1,492,897,824/x
  3. Step 3: Cross multiply
    681,578,496x = 1,492,897,824 × 1,492,897,824
  4. Step 4: Simplify right side
    681,578,496x = 2,228,743,912,903,934,976
  5. Step 5: Solve for x
    x = 2,228,743,912,903,934,976/681,578,496
  6. Step 6: Final answer
    x = 3,269,973,929.61

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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.