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Finding the Third Proportional to 72,058,736,585.25 and 150,081,731,003.25

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Solution

The third proportional to 72,058,736,585.25 and 150,081,731,003.25 is: 312,585,635,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,058,736,585.25 : 150,081,731,003.25 = 150,081,731,003.25 : x
  2. Step 2: Convert to fraction form
    72,058,736,585.25/150,081,731,003.25 = 150,081,731,003.25/x
  3. Step 3: Cross multiply
    72,058,736,585.25x = 150,081,731,003.25 × 150,081,731,003.25
  4. Step 4: Simplify right side
    72,058,736,585.25x = 22,524,525,980,931,892,183,040
  5. Step 5: Solve for x
    x = 22,524,525,980,931,892,183,040/72,058,736,585.25
  6. Step 6: Final answer
    x = 312,585,635,667.98

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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.