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Finding the Third Proportional to 73,599,577,348 and 120,168,759,174

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Solution

The third proportional to 73,599,577,348 and 120,168,759,174 is: 196,203,989,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,599,577,348 : 120,168,759,174 = 120,168,759,174 : x
  2. Step 2: Convert to fraction form
    73,599,577,348/120,168,759,174 = 120,168,759,174/x
  3. Step 3: Cross multiply
    73,599,577,348x = 120,168,759,174 × 120,168,759,174
  4. Step 4: Simplify right side
    73,599,577,348x = 14,440,530,681,418,808,819,712
  5. Step 5: Solve for x
    x = 14,440,530,681,418,808,819,712/73,599,577,348
  6. Step 6: Final answer
    x = 196,203,989,231.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.