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Finding the Third Proportional to 39,332,180,966 and 86,509,626,832

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Solution

The third proportional to 39,332,180,966 and 86,509,626,832 is: 190,274,613,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332,180,966 : 86,509,626,832 = 86,509,626,832 : x
  2. Step 2: Convert to fraction form
    39,332,180,966/86,509,626,832 = 86,509,626,832/x
  3. Step 3: Cross multiply
    39,332,180,966x = 86,509,626,832 × 86,509,626,832
  4. Step 4: Simplify right side
    39,332,180,966x = 7,483,915,534,611,893,977,088
  5. Step 5: Solve for x
    x = 7,483,915,534,611,893,977,088/39,332,180,966
  6. Step 6: Final answer
    x = 190,274,613,581.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.