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Finding the Third Proportional to 177,578,283,008 and 419,052,966,246

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Solution

The third proportional to 177,578,283,008 and 419,052,966,246 is: 988,890,001,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578,283,008 : 419,052,966,246 = 419,052,966,246 : x
  2. Step 2: Convert to fraction form
    177,578,283,008/419,052,966,246 = 419,052,966,246/x
  3. Step 3: Cross multiply
    177,578,283,008x = 419,052,966,246 × 419,052,966,246
  4. Step 4: Simplify right side
    177,578,283,008x = 175,605,388,519,571,227,410,432
  5. Step 5: Solve for x
    x = 175,605,388,519,571,227,410,432/177,578,283,008
  6. Step 6: Final answer
    x = 988,890,001,327.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.