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Finding the Third Proportional to 59,192,994,042 and 138,121,759,080

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Solution

The third proportional to 59,192,994,042 and 138,121,759,080 is: 322,295,241,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192,994,042 : 138,121,759,080 = 138,121,759,080 : x
  2. Step 2: Convert to fraction form
    59,192,994,042/138,121,759,080 = 138,121,759,080/x
  3. Step 3: Cross multiply
    59,192,994,042x = 138,121,759,080 × 138,121,759,080
  4. Step 4: Simplify right side
    59,192,994,042x = 19,077,620,331,353,561,104,384
  5. Step 5: Solve for x
    x = 19,077,620,331,353,561,104,384/59,192,994,042
  6. Step 6: Final answer
    x = 322,295,241,862.87

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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.