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Finding the Third Proportional to 36,270,029.25 and 76,633,798.50

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Solution

The third proportional to 36,270,029.25 and 76,633,798.50 is: 161,917,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270,029.25 : 76,633,798.50 = 76,633,798.50 : x
  2. Step 2: Convert to fraction form
    36,270,029.25/76,633,798.50 = 76,633,798.50/x
  3. Step 3: Cross multiply
    36,270,029.25x = 76,633,798.50 × 76,633,798.50
  4. Step 4: Simplify right side
    36,270,029.25x = 5,872,739,072,538,602
  5. Step 5: Solve for x
    x = 5,872,739,072,538,602/36,270,029.25
  6. Step 6: Final answer
    x = 161,917,130.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.