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Finding the Third Proportional to 733,097,389,775 and 1,578,234,881,404

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Solution

The third proportional to 733,097,389,775 and 1,578,234,881,404 is: 3,397,673,181,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,097,389,775 : 1,578,234,881,404 = 1,578,234,881,404 : x
  2. Step 2: Convert to fraction form
    733,097,389,775/1,578,234,881,404 = 1,578,234,881,404/x
  3. Step 3: Cross multiply
    733,097,389,775x = 1,578,234,881,404 × 1,578,234,881,404
  4. Step 4: Simplify right side
    733,097,389,775x = 2,490,825,340,880,297,954,115,584
  5. Step 5: Solve for x
    x = 2,490,825,340,880,297,954,115,584/733,097,389,775
  6. Step 6: Final answer
    x = 3,397,673,181,792.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.