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Finding the Third Proportional to 36,202,340,290 and 77,937,525,116

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Solution

The third proportional to 36,202,340,290 and 77,937,525,116 is: 167,786,330,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,290 : 77,937,525,116 = 77,937,525,116 : x
  2. Step 2: Convert to fraction form
    36,202,340,290/77,937,525,116 = 77,937,525,116/x
  3. Step 3: Cross multiply
    36,202,340,290x = 77,937,525,116 × 77,937,525,116
  4. Step 4: Simplify right side
    36,202,340,290x = 6,074,257,821,207,130,800,128
  5. Step 5: Solve for x
    x = 6,074,257,821,207,130,800,128/36,202,340,290
  6. Step 6: Final answer
    x = 167,786,330,180.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.