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Finding the Third Proportional to 59,192,994,064 and 138,121,759,136

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Solution

The third proportional to 59,192,994,064 and 138,121,759,136 is: 322,295,242,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192,994,064 : 138,121,759,136 = 138,121,759,136 : x
  2. Step 2: Convert to fraction form
    59,192,994,064/138,121,759,136 = 138,121,759,136/x
  3. Step 3: Cross multiply
    59,192,994,064x = 138,121,759,136 × 138,121,759,136
  4. Step 4: Simplify right side
    59,192,994,064x = 19,077,620,346,823,198,638,080
  5. Step 5: Solve for x
    x = 19,077,620,346,823,198,638,080/59,192,994,064
  6. Step 6: Final answer
    x = 322,295,242,004.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.