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Finding the Third Proportional to 127,564,723,814 and 273,324,813,502

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Solution

The third proportional to 127,564,723,814 and 273,324,813,502 is: 585,635,679,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,564,723,814 : 273,324,813,502 = 273,324,813,502 : x
  2. Step 2: Convert to fraction form
    127,564,723,814/273,324,813,502 = 273,324,813,502/x
  3. Step 3: Cross multiply
    127,564,723,814x = 273,324,813,502 × 273,324,813,502
  4. Step 4: Simplify right side
    127,564,723,814x = 74,706,453,675,903,083,872,256
  5. Step 5: Solve for x
    x = 74,706,453,675,903,083,872,256/127,564,723,814
  6. Step 6: Final answer
    x = 585,635,679,224.54

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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.