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Finding the Third Proportional to 72,058,736,579.75 and 150,081,730,990

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Solution

The third proportional to 72,058,736,579.75 and 150,081,730,990 is: 312,585,635,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,058,736,579.75 : 150,081,730,990 = 150,081,730,990 : x
  2. Step 2: Convert to fraction form
    72,058,736,579.75/150,081,730,990 = 150,081,730,990/x
  3. Step 3: Cross multiply
    72,058,736,579.75x = 150,081,730,990 × 150,081,730,990
  4. Step 4: Simplify right side
    72,058,736,579.75x = 22,524,525,976,954,727,301,120
  5. Step 5: Solve for x
    x = 22,524,525,976,954,727,301,120/72,058,736,579.75
  6. Step 6: Final answer
    x = 312,585,635,636.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.