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Finding the Third Proportional to 36,097,824 and 77,950,050

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Solution

The third proportional to 36,097,824 and 77,950,050 is: 168,326,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097,824 : 77,950,050 = 77,950,050 : x
  2. Step 2: Convert to fraction form
    36,097,824/77,950,050 = 77,950,050/x
  3. Step 3: Cross multiply
    36,097,824x = 77,950,050 × 77,950,050
  4. Step 4: Simplify right side
    36,097,824x = 6,076,210,295,002,500
  5. Step 5: Solve for x
    x = 6,076,210,295,002,500/36,097,824
  6. Step 6: Final answer
    x = 168,326,220.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.