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Finding the Third Proportional to 36,202,340,234.50 and 77,937,525,005

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Solution

The third proportional to 36,202,340,234.50 and 77,937,525,005 is: 167,786,329,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,234.50 : 77,937,525,005 = 77,937,525,005 : x
  2. Step 2: Convert to fraction form
    36,202,340,234.50/77,937,525,005 = 77,937,525,005/x
  3. Step 3: Cross multiply
    36,202,340,234.50x = 77,937,525,005 × 77,937,525,005
  4. Step 4: Simplify right side
    36,202,340,234.50x = 6,074,257,803,904,999,751,680
  5. Step 5: Solve for x
    x = 6,074,257,803,904,999,751,680/36,202,340,234.50
  6. Step 6: Final answer
    x = 167,786,329,959.86

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Why These Related Problems?

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