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Finding the Third Proportional to 177,578,283,004.50 and 419,052,966,237

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Solution

The third proportional to 177,578,283,004.50 and 419,052,966,237 is: 988,890,001,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578,283,004.50 : 419,052,966,237 = 419,052,966,237 : x
  2. Step 2: Convert to fraction form
    177,578,283,004.50/419,052,966,237 = 419,052,966,237/x
  3. Step 3: Cross multiply
    177,578,283,004.50x = 419,052,966,237 × 419,052,966,237
  4. Step 4: Simplify right side
    177,578,283,004.50x = 175,605,388,512,028,258,205,696
  5. Step 5: Solve for x
    x = 175,605,388,512,028,258,205,696/177,578,283,004.50
  6. Step 6: Final answer
    x = 988,890,001,304.82

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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.