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Finding the Third Proportional to 127,564,723,812 and 273,324,813,497.25

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Solution

The third proportional to 127,564,723,812 and 273,324,813,497.25 is: 585,635,679,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,564,723,812 : 273,324,813,497.25 = 273,324,813,497.25 : x
  2. Step 2: Convert to fraction form
    127,564,723,812/273,324,813,497.25 = 273,324,813,497.25/x
  3. Step 3: Cross multiply
    127,564,723,812x = 273,324,813,497.25 × 273,324,813,497.25
  4. Step 4: Simplify right side
    127,564,723,812x = 74,706,453,673,306,499,317,760
  5. Step 5: Solve for x
    x = 74,706,453,673,306,499,317,760/127,564,723,812
  6. Step 6: Final answer
    x = 585,635,679,213.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.