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Finding the Third Proportional to 38,497,762.75 and 80,180,070.75

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Solution

The third proportional to 38,497,762.75 and 80,180,070.75 is: 166,992,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497,762.75 : 80,180,070.75 = 80,180,070.75 : x
  2. Step 2: Convert to fraction form
    38,497,762.75/80,180,070.75 = 80,180,070.75/x
  3. Step 3: Cross multiply
    38,497,762.75x = 80,180,070.75 × 80,180,070.75
  4. Step 4: Simplify right side
    38,497,762.75x = 6,428,843,745,475,006
  5. Step 5: Solve for x
    x = 6,428,843,745,475,006/38,497,762.75
  6. Step 6: Final answer
    x = 166,992,658.44

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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.